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10222110212220 = 22325115127493277
BaseRepresentation
bin1001010011000000010100…
…1111111000000001111100
31100012020001102210002112200
42110300011033320001330
52314434340203242340
633423550025431500
72103344264114364
oct224600517700174
940166042702480
1010222110212220
1132911997a7985
12119114403b590
13591c300a74ba
14274a7787d9a4
1512ad79516330
hex94c053f807c

10222110212220 has 72 divisors (see below), whose sum is σ = 31007399832864. Its totient is φ = 2725866853248.

The previous prime is 10222110212183. The next prime is 10222110212243. The reversal of 10222110212220 is 2221201122201.

It is a happy number.

10222110212220 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 10 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222110212193 and 10222110212202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20476222 + ... + 20969498.

It is an arithmetic number, because the mean of its divisors is an integer number (430658331012).

Almost surely, 210222110212220 is an apocalyptic number.

10222110212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222110212220 is an abundant number, since it is smaller than the sum of its proper divisors (20785289620644).

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

10222110212220 is a wasteful number, since it uses less digits than its factorization.

10222110212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608419 (or 608414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222110212220 its reverse (2221201122201), we get a palindrome (12443311334421).

The spelling of 10222110212220 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 115127 230254 345381 460508 493277 575635 690762 986554 1036143 1151270 1381524 1479831 1726905 1973108 2072286 2302540 2466385 2959662 3453810 4144572 4439493 4932770 5180715 5919324 6907620 7399155 8878986 9865540 10361430 14798310 17757972 20722860 22197465 29596620 44394930 88789860 56789501179 113579002358 170368503537 227158004716 283947505895 340737007074 511105510611 567895011790 681474014148 851842517685 1022211021222 1135790023580 1703685035370 2044422042444 2555527553055 3407370070740 5111055106110 10222110212220