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22011212232 = 2332305711281
BaseRepresentation
bin10100011111111110…
…000111000111001000
32002210222222102202200
4110133332013013020
5330034332242412
614040052400200
71406313134262
oct243776070710
962728872680
1022011212232
119375834599
124323616060
1320ca279549
1410cb45cb32
1588c5e59dc
hex51ff871c8

22011212232 has 24 divisors (see below), whose sum is σ = 59613699990. Its totient is φ = 7337070720.

The previous prime is 22011212203. The next prime is 22011212233. The reversal of 22011212232 is 23221211022.

22011212232 is a `hidden beast` number, since 220 + 1 + 1 + 212 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11188139076 + 10823073156 = 105774^2 + 104034^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (22011212233) 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 5 ways as a sum of consecutive naturals, for example, 152855569 + ... + 152855712.

Almost surely, 222011212232 is an apocalyptic number.

It is an amenable number.

22011212232 is an abundant number, since it is smaller than the sum of its proper divisors (37602487758).

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

22011212232 is a wasteful number, since it uses less digits than its factorization.

22011212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305711293 (or 305711286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22011212232 its reverse (23221211022), we get a palindrome (45232423254).

The spelling of 22011212232 in words is "twenty-two billion, eleven million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 305711281 611422562 917133843 1222845124 1834267686 2445690248 2751401529 3668535372 5502803058 7337070744 11005606116 22011212232