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212334340432 = 24294111161393
BaseRepresentation
bin1100010111000000011…
…1001110100101010000
3202022001221112002200211
43011300013032211100
511434330042343212
6241313421453504
721224562054124
oct3056007164520
9668057462624
10212334340432
1182061221785
123519a411294
131703b816276
14a3c4291584
1557cb2389a7
hex31701ce950

212334340432 has 40 divisors (see below), whose sum is σ = 435964049640. Its totient is φ = 100006072320.

The previous prime is 212334340417. The next prime is 212334340433. The reversal of 212334340432 is 234043433212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6693857856 + 205640482576 = 81816^2 + 453476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212334340394 and 212334340403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212334340433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5561673 + ... + 5599720.

It is an arithmetic number, because the mean of its divisors is an integer number (10899101241).

Almost surely, 2212334340432 is an apocalyptic number.

It is an amenable number.

212334340432 is an abundant number, since it is smaller than the sum of its proper divisors (223629709208).

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

212334340432 is a wasteful number, since it uses less digits than its factorization.

212334340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161471 (or 11161465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 212334340432 its reverse (234043433212), we get a palindrome (446377773644).

The spelling of 212334340432 in words is "two hundred twelve billion, three hundred thirty-four million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 11161393 22322786 44645572 89291144 178582288 323680397 457617113 647360794 915234226 1294721588 1830468452 2589443176 3660936904 5178886352 7321873808 13270896277 26541792554 53083585108 106167170216 212334340432