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23213601540 = 22335296914479
BaseRepresentation
bin10101100111101000…
…110111001100000100
32012220210111010211000
4111213220313030010
5340020140222130
614355244013300
71451153233413
oct254750671404
965823433730
1023213601540
119932522468
1245ba231230
13225c3c93cc
1411a301147a
1590ce54260
hex567a37304

23213601540 has 96 divisors (see below), whose sum is σ = 72249408000. Its totient is φ = 6187781376.

The previous prime is 23213601511. The next prime is 23213601553. The reversal of 23213601540 is 4510631232.

23213601540 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 601 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596021 + ... + 1610499.

It is an arithmetic number, because the mean of its divisors is an integer number (752598000).

Almost surely, 223213601540 is an apocalyptic number.

23213601540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23213601540 is an abundant number, since it is smaller than the sum of its proper divisors (49035806460).

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

23213601540 is a wasteful number, since it uses less digits than its factorization.

23213601540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17466 (or 17458 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 23213601540 in words is "twenty-three billion, two hundred thirteen million, six hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2969 5938 8907 11876 14479 14845 17814 26721 28958 29690 35628 43437 44535 53442 57916 59380 72395 80163 86874 89070 106884 130311 133605 144790 160326 173748 178140 217185 260622 267210 289580 320652 390933 400815 434370 521244 534420 651555 781866 801630 868740 1303110 1563732 1603260 1954665 2606220 3909330 7818660 42988151 85976302 128964453 171952604 214940755 257928906 386893359 429881510 515857812 644822265 773786718 859763020 1160680077 1289644530 1547573436 1934466795 2321360154 2579289060 3868933590 4642720308 5803400385 7737867180 11606800770 23213601540