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234306212263664 = 24292832953604249
BaseRepresentation
bin110101010001100110101010…
…100011001111011011110000
31010201121110021210102020102012
4311101212222203033123300
5221202333110314414124
62150154442110142052
7100232031236223422
oct6521465243173360
91121543253366365
10234306212263664
1168725785521972
12223421444b1928
13a097c9a3804c8
1441c06a4516812
151c14c97a97e0e
hexd519aa8cf6f0

234306212263664 has 80 divisors (see below), whose sum is σ = 471442182540000. Its totient is φ = 112675294384128.

The previous prime is 234306212263637. The next prime is 234306212263681. The reversal of 234306212263664 is 466362212603432.

It is a super-2 number, since 2×2343062122636642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387462212 + ... + 388066460.

It is an arithmetic number, because the mean of its divisors is an integer number (5893027281750).

Almost surely, 2234306212263664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234306212263664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235721091270000).

234306212263664 is an abundant number, since it is smaller than the sum of its proper divisors (237135970276336).

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

234306212263664 is a wasteful number, since it uses less digits than its factorization.

234306212263664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607522 (or 607516 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 50.

The spelling of 234306212263664 in words is "two hundred thirty-four trillion, three hundred six billion, two hundred twelve million, two hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 283 464 566 1132 2264 2953 4528 5906 8207 11812 16414 23624 32828 47248 65656 85637 131312 171274 342548 604249 685096 835699 1208498 1370192 1671398 2416996 3342796 4833992 6685592 9667984 13371184 17523221 24235271 35046442 48470542 70092884 96941084 140185768 171002467 193882168 280371536 342004934 387764336 684009868 1368019736 1784347297 2736039472 3568694594 4959071543 7137389188 9918143086 14274778376 19836286172 28549556752 39672572344 51746071613 79345144688 103492143226 206984286452 413968572904 504970285051 827937145808 1009940570102 2019881140204 4039762280408 8079524560816 14644138266479 29288276532958 58576553065916 117153106131832 234306212263664