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10355252220 = 223456392131
BaseRepresentation
bin10011010010011100…
…01001101111111100
3222201200020022120000
421221032021233330
5132201421032340
64431312554300
7514420122465
oct115116115774
928650208500
1010355252220
1144342a7295
12200bb52990
13c904921a1
147033d9d6c
15409182d30
hex269389bfc

10355252220 has 60 divisors (see below), whose sum is σ = 32484814824. Its totient is φ = 2761400160.

The previous prime is 10355252161. The next prime is 10355252221. The reversal of 10355252220 is 2225255301.

10355252220 is a `hidden beast` number, since 103 + 552 + 5 + 2 + 2 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×103552522203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355252221) 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 19 ways as a sum of consecutive naturals, for example, 3194446 + ... + 3197685.

Almost surely, 210355252220 is an apocalyptic number.

10355252220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10355252220 is an abundant number, since it is smaller than the sum of its proper divisors (22129562604).

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

10355252220 is a wasteful number, since it uses less digits than its factorization.

10355252220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392152 (or 6392141 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10355252220 in words is "ten billion, three hundred fifty-five million, two hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6392131 12784262 19176393 25568524 31960655 38352786 57529179 63921310 76705572 95881965 115058358 127842620 172587537 191763930 230116716 287645895 345175074 383527860 517762611 575291790 690350148 862937685 1035525222 1150583580 1725875370 2071050444 2588813055 3451750740 5177626110 10355252220