Search a number
-
+
232624908240 = 24352933423119
BaseRepresentation
bin1101100010100110000…
…1100110011111010000
3211020110000210202001020
43120221201212133100
512302403434030430
6254511051035440
722543443044364
oct3305141463720
9736400722036
10232624908240
118a72377268a
123910173bb80
1318c234686ca
14b38adb32a4
1560b774db10
hex36298667d0

232624908240 has 80 divisors (see below), whose sum is σ = 746004038400. Its totient is φ = 59894227456.

The previous prime is 232624908239. The next prime is 232624908283. The reversal of 232624908240 is 42809426232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2326249082402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232624908192 and 232624908201.

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, 16704600 + ... + 16718519.

It is an arithmetic number, because the mean of its divisors is an integer number (9325050480).

Almost surely, 2232624908240 is an apocalyptic number.

232624908240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232624908240 is an abundant number, since it is smaller than the sum of its proper divisors (513379130160).

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

232624908240 is a wasteful number, since it uses less digits than its factorization.

232624908240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33423164 (or 33423158 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 232624908240 in words is "two hundred thirty-two billion, six hundred twenty-four million, nine hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 33423119 66846238 100269357 133692476 167115595 200538714 267384952 334231190 401077428 501346785 534769904 668462380 802154856 969270451 1002693570 1336924760 1604309712 1938540902 2005387140 2673849520 2907811353 3877081804 4010774280 4846352255 5815622706 7754163608 8021548560 9692704510 11631245412 14539056765 15508327216 19385409020 23262490824 29078113530 38770818040 46524981648 58156227060 77541636080 116312454120 232624908240