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221331620232 = 23331024683427
BaseRepresentation
bin1100111000100001100…
…1001000000110001000
3210011021222111021022000
43032020121020012020
512111241343321412
6245402304431000
721663542505432
oct3161031100610
9704258437260
10221331620232
1185958a25208
1236a8b618460
1317b43853378
14a9d9199652
155b560794dc
hex3388648188

221331620232 has 32 divisors (see below), whose sum is σ = 614810056800. Its totient is φ = 73777206672.

The previous prime is 221331620189. The next prime is 221331620267. The reversal of 221331620232 is 232026133122.

221331620232 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 1 + 620 + 2 + 32 = 666.

221331620232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213316202322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221331620196 and 221331620205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512341498 + ... + 512341929.

It is an arithmetic number, because the mean of its divisors is an integer number (19212814275).

Almost surely, 2221331620232 is an apocalyptic number.

It is an amenable number.

221331620232 is an abundant number, since it is smaller than the sum of its proper divisors (393478436568).

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

221331620232 is a wasteful number, since it uses less digits than its factorization.

221331620232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024683442 (or 1024683432 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221331620232 its reverse (232026133122), we get a palindrome (453357753354).

The spelling of 221331620232 in words is "two hundred twenty-one billion, three hundred thirty-one million, six hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1024683427 2049366854 3074050281 4098733708 6148100562 8197467416 9222150843 12296201124 18444301686 24592402248 27666452529 36888603372 55332905058 73777206744 110665810116 221331620232