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20231214564 = 22311713476221
BaseRepresentation
bin10010110101110111…
…111101010111100100
31221012221121012000010
4102311313331113210
5312413142331224
613143305050220
71314230325561
oct226567752744
957187535003
1020231214564
118641aa1a40
123b07486970
131ba55709a2
14d9ccb1868
157d61dde29
hex4b5dfd5e4

20231214564 has 96 divisors (see below), whose sum is σ = 52381873152. Its totient is φ = 6025936000.

The previous prime is 20231214533. The next prime is 20231214593. The reversal of 20231214564 is 46541213202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248974 + ... + 3255194.

It is an arithmetic number, because the mean of its divisors is an integer number (545644512).

Almost surely, 220231214564 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 20231214564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26190936576).

20231214564 is an abundant number, since it is smaller than the sum of its proper divisors (32150658588).

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

20231214564 is a wasteful number, since it uses less digits than its factorization.

20231214564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20231214564 its reverse (46541213202), we get a palindrome (66772427766).

The spelling of 20231214564 in words is "twenty billion, two hundred thirty-one million, two hundred fourteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 347 426 694 781 852 1041 1388 1562 2082 2343 3124 3817 4164 4686 6221 7634 9372 11451 12442 15268 18663 22902 24637 24884 37326 45804 49274 68431 73911 74652 98548 136862 147822 205293 271007 273724 295644 410586 441691 542014 813021 821172 883382 1084028 1325073 1626042 1766764 2158687 2650146 3252084 4317374 4858601 5300292 6476061 8634748 9717202 12952122 14575803 19434404 23745557 25904244 29151606 47491114 58303212 71236671 94982228 142473342 153266777 284946684 306533554 459800331 613067108 919600662 1685934547 1839201324 3371869094 5057803641 6743738188 10115607282 20231214564