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2312248540 = 225717257149
BaseRepresentation
bin1000100111010010…
…0001110011011100
312222010220101200211
42021310201303130
514213413423130
61021235302204
7111204534250
oct21164416334
95863811624
102312248540
11a87227608
1254644a964
132ab073304
1417d13a260
15d7ee0a2a
hex89d21cdc

2312248540 has 72 divisors (see below), whose sum is σ = 5895136800. Its totient is φ = 746124288.

The previous prime is 2312248517. The next prime is 2312248541. The reversal of 2312248540 is 458422132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312248541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11886 + ... + 69034.

It is an arithmetic number, because the mean of its divisors is an integer number (81876900).

Almost surely, 22312248540 is an apocalyptic number.

2312248540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947568400).

2312248540 is an abundant number, since it is smaller than the sum of its proper divisors (3582888260).

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

2312248540 is a wasteful number, since it uses less digits than its factorization.

2312248540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57199 (or 57180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2312248540 is about 48085.8455265164. The cubic root of 2312248540 is about 1322.3451843318.

The spelling of 2312248540 in words is "two billion, three hundred twelve million, two hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 476 578 595 1156 1190 1445 2023 2380 2890 4046 5780 8092 10115 20230 40460 57149 114298 228596 285745 400043 571490 800086 971533 1142980 1600172 1943066 2000215 3886132 4000430 4857665 6800731 8000860 9715330 13601462 16516061 19430660 27202924 33032122 34003655 66064244 68007310 82580305 115612427 136014620 165160610 231224854 330321220 462449708 578062135 1156124270 2312248540