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10204122222 = 2327172147057
BaseRepresentation
bin10011000000011011…
…01000110001101110
3222100010212010011200
421200031220301232
5131344223402342
64404313430330
7510603415320
oct114015506156
928303763150
1010204122222
114366a63068
121b8940b3a6
13c68088b58
146cb2d9610
153eac7d94c
hex260368c6e

10204122222 has 48 divisors (see below), whose sum is σ = 25282569312. Its totient is φ = 2913707520.

The previous prime is 10204122221. The next prime is 10204122287. The reversal of 10204122222 is 22222140201.

10204122222 is a `hidden beast` number, since 10 + 20 + 412 + 2 + 222 = 666.

It is a super-2 number, since 2×102041222222 (a number of 21 digits) contains 22 as substring.

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 = 10204122195 and 10204122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204122221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193318 + ... + 240374.

It is an arithmetic number, because the mean of its divisors is an integer number (526720194).

Almost surely, 210204122222 is an apocalyptic number.

10204122222 is an abundant number, since it is smaller than the sum of its proper divisors (15078447090).

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

10204122222 is a wasteful number, since it uses less digits than its factorization.

10204122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48793 (or 48790 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10204122222 its reverse (22222140201), we get a palindrome (32426262423).

The spelling of 10204122222 in words is "ten billion, two hundred four million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1721 3442 5163 10326 12047 15489 24094 30978 36141 47057 72282 94114 108423 141171 216846 282342 329399 423513 658798 847026 988197 1976394 2964591 5929182 80985097 161970194 242955291 485910582 566895679 728865873 1133791358 1457731746 1700687037 3401374074 5102061111 10204122222