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2245295970 = 233510380737
BaseRepresentation
bin1000010111010100…
…0111111101100010
312210110220212001000
42011311013331202
514044243432340
61010444252430
7106432462251
oct20565077542
95713825030
102245295970
11a52458105
12527b41116
1329a2308c8
141742ac798
15d21b7d30
hex85d47f62

2245295970 has 64 divisors (see below), whose sum is σ = 6045661440. Its totient is φ = 592925184.

The previous prime is 2245295951. The next prime is 2245295981. The reversal of 2245295970 is 795925422.

2245295970 is a `hidden beast` number, since 2 + 2 + 4 + 52 + 9 + 597 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12559 + ... + 68178.

It is an arithmetic number, because the mean of its divisors is an integer number (94463460).

Almost surely, 22245295970 is an apocalyptic number.

2245295970 is an abundant number, since it is smaller than the sum of its proper divisors (3800365470).

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

2245295970 is a wasteful number, since it uses less digits than its factorization.

2245295970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80856 (or 80850 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2245295970 is about 47384.5541289564. The cubic root of 2245295970 is about 1309.4568713662.

The spelling of 2245295970 in words is "two billion, two hundred forty-five million, two hundred ninety-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 9270 13905 27810 80737 161474 242211 403685 484422 726633 807370 1211055 1453266 2179899 2422110 3633165 4359798 7266330 8315911 10899495 16631822 21798990 24947733 41579555 49895466 74843199 83159110 124738665 149686398 224529597 249477330 374215995 449059194 748431990 1122647985 2245295970