Search a number
-
+
23192523540 = 22325283455291
BaseRepresentation
bin10101100110011000…
…011101001100010100
32012212022211021020100
4111212120131030110
5334444241223130
614353212134100
71450506124464
oct254630351424
965768737210
1023192523540
11992163622a
1245b3167330
132257c29414
1411a02c5ba4
1590b18dc60
hex56661d314

23192523540 has 72 divisors (see below), whose sum is σ = 70599398688. Its totient is φ = 6162805440.

The previous prime is 23192523511. The next prime is 23192523569. The reversal of 23192523540 is 4532529132.

23192523540 is a `hidden beast` number, since 2 + 3 + 1 + 92 + 5 + 23 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (23192523511) and next prime (23192523569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23192523495 and 23192523504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176706 + ... + 278585.

It is an arithmetic number, because the mean of its divisors is an integer number (980547204).

Almost surely, 223192523540 is an apocalyptic number.

23192523540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23192523540 is an abundant number, since it is smaller than the sum of its proper divisors (47406875148).

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

23192523540 is a wasteful number, since it uses less digits than its factorization.

23192523540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455589 (or 455584 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23192523540 in words is "twenty-three billion, one hundred ninety-two million, five hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 10188 12735 16980 25470 50940 455291 910582 1365873 1821164 2276455 2731746 4097619 4552910 5463492 6829365 8195238 9105820 13658730 16390476 20488095 27317460 40976190 81952380 128847353 257694706 386542059 515389412 644236765 773084118 1159626177 1288473530 1546168236 1932710295 2319252354 2576947060 3865420590 4638504708 5798130885 7730841180 11596261770 23192523540