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22133234420 = 225112329150833
BaseRepresentation
bin10100100111001111…
…100101101011110100
32010010111120210201222
4110213033211223310
5330312102000140
614100132005512
71412324250143
oct244717455364
963114523658
1022133234420
1194286a7680
124358460898
132119630a1b
1410dd74375a
1589819a5b5
hex5273e5af4

22133234420 has 96 divisors (see below), whose sum is σ = 54734641920. Its totient is φ = 7433000960.

The previous prime is 22133234419. The next prime is 22133234423. The reversal of 22133234420 is 2443233122.

It is a self number, because there is not a number n which added to its sum of digits gives 22133234420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133234423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71324 + ... + 222156.

It is an arithmetic number, because the mean of its divisors is an integer number (570152520).

Almost surely, 222133234420 is an apocalyptic number.

22133234420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27367320960).

22133234420 is an abundant number, since it is smaller than the sum of its proper divisors (32601407500).

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

22133234420 is a wasteful number, since it uses less digits than its factorization.

22133234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150905 (or 150903 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 22133234420 its reverse (2443233122), we get a palindrome (24576467542).

The spelling of 22133234420 in words is "twenty-two billion, one hundred thirty-three million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 146740 150833 301666 603332 754165 1508330 1659163 3016660 3318326 3469159 4374157 6636652 6938318 8295815 8748314 13876636 16591630 17345795 17496628 21870785 33183260 34691590 38160749 43741570 48115727 69383180 76321498 87483140 96231454 100605611 152642996 190803745 192462908 201211222 240578635 381607490 402422444 481157270 503028055 763214980 962314540 1006056110 1106661721 2012112220 2213323442 4426646884 5533308605 11066617210 22133234420