Search a number
-
+
23155642530 = 236513124247
BaseRepresentation
bin10101100100001011…
…110001000010100010
32012202202102112000000
4111210023301002202
5334410321030110
614345413440430
71446550466616
oct254413610242
965682375000
1023155642530
119902835a59
1245a2940116
1322503b5437
141199445346
15907d061c0
hex5642f10a2

23155642530 has 112 divisors (see below), whose sum is σ = 62971280064. Its totient is φ = 6127449120.

The previous prime is 23155642501. The next prime is 23155642537. The reversal of 23155642530 is 3524655132.

23155642530 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 5 + 642 + 5 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (23155642537) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 942867 + ... + 967113.

It is an arithmetic number, because the mean of its divisors is an integer number (562243572).

Almost surely, 223155642530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23155642530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31485640032).

23155642530 is an abundant number, since it is smaller than the sum of its proper divisors (39815637534).

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

23155642530 is a wasteful number, since it uses less digits than its factorization.

23155642530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24403 (or 24388 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 23155642530 in words is "twenty-three billion, one hundred fifty-five million, six hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 243 262 270 393 405 486 655 729 786 810 1179 1215 1310 1458 1965 2358 2430 3537 3645 3930 5895 7074 7290 10611 11790 17685 21222 24247 31833 35370 48494 53055 63666 72741 95499 106110 121235 145482 159165 190998 218223 242470 318330 363705 436446 477495 654669 727410 954990 1091115 1309338 1964007 2182230 3176357 3273345 3928014 5892021 6352714 6546690 9529071 9820035 11784042 15881785 17676063 19058142 19640070 28587213 29460105 31763570 35352126 47645355 57174426 58920210 85761639 88380315 95290710 142936065 171523278 176760630 257284917 285872130 428808195 514569834 771854751 857616390 1286424585 1543709502 2315564253 2572849170 3859273755 4631128506 7718547510 11577821265 23155642530