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22130223152220 = 223252915128076201
BaseRepresentation
bin1010000100000100110000…
…00101101111110001011100
32220100121222022010220112200
411002002120011233301130
510400040144111332340
6115022252325131500
74442566363036611
oct502023005576134
986317868126480
1022130223152220
117062414043577
122594b9ab59b90
13c46b42a22061
14567173aa4508
152859d05a6330
hex14209816fc5c

22130223152220 has 144 divisors (see below), whose sum is σ = 69903004691520. Its totient is φ = 5660161920000.

The previous prime is 22130223152209. The next prime is 22130223152227. The reversal of 22130223152220 is 2225132203122.

22130223152220 is a `hidden beast` number, since 2 + 2 + 1 + 302 + 2 + 315 + 22 + 20 = 666.

It is a super-2 number, since 2×221302231522202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130223152227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13249881 + ... + 14826320.

It is an arithmetic number, because the mean of its divisors is an integer number (485437532580).

Almost surely, 222130223152220 is an apocalyptic number.

22130223152220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130223152220 is an abundant number, since it is smaller than the sum of its proper divisors (47772781539300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22130223152220 is a wasteful number, since it uses less digits than its factorization.

22130223152220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28076396 (or 28076391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22130223152220 its reverse (2225132203122), we get a palindrome (24355355355342).

The spelling of 22130223152220 in words is "twenty-two trillion, one hundred thirty billion, two hundred twenty-three million, one hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 151 174 180 261 290 302 348 435 453 522 580 604 755 870 906 1044 1305 1359 1510 1740 1812 2265 2610 2718 3020 4379 4530 5220 5436 6795 8758 9060 13137 13590 17516 21895 26274 27180 39411 43790 52548 65685 78822 87580 131370 157644 197055 262740 394110 788220 28076201 56152402 84228603 112304804 140381005 168457206 252685809 280762010 336914412 421143015 505371618 561524020 814209829 842286030 1010743236 1263429045 1628419658 1684572060 2442629487 2526858090 3256839316 4071049145 4239506351 4885258974 5053716180 7327888461 8142098290 8479012702 9770517948 12213147435 12718519053 14655776922 16284196580 16958025404 21197531755 24426294870 25437038106 29311553844 36639442305 38155557159 42395063510 48852589740 50874076212 63592595265 73278884610 76311114318 84790127020 122945684179 127185190530 146557769220 152622228636 190777785795 245891368358 254370381060 368837052537 381555571590 491782736716 614728420895 737674105074 763111143180 1106511157611 1229456841790 1475348210148 1844185262685 2213022315222 2458913683580 3688370525370 4426044630444 5532555788055 7376741050740 11065111576110 22130223152220