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2188400740 = 225532064529
BaseRepresentation
bin1000001001110000…
…0101100001100100
312122111212021110021
42002130011201210
513440212310430
61001053004524
7105142046041
oct20234054144
95574767407
102188400740
11a23327959
12510a83744
1328b4ccba6
1416a8dc1c8
15cc1ca07a
hex82705864

2188400740 has 24 divisors (see below), whose sum is σ = 4682354040. Its totient is φ = 858843648.

The previous prime is 2188400737. The next prime is 2188400759. The reversal of 2188400740 is 470048812.

It can be written as a sum of positive squares in 4 ways, for example, as 211353444 + 1977047296 = 14538^2 + 44464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2188400696 and 2188400705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031205 + ... + 1033324.

It is an arithmetic number, because the mean of its divisors is an integer number (195098085).

Almost surely, 22188400740 is an apocalyptic number.

2188400740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2188400740 is an abundant number, since it is smaller than the sum of its proper divisors (2493953300).

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

2188400740 is a wasteful number, since it uses less digits than its factorization.

2188400740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064591 (or 2064589 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 2188400740 is about 46780.3456592616. The cubic root of 2188400740 is about 1298.3016757610.

The spelling of 2188400740 in words is "two billion, one hundred eighty-eight million, four hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2064529 4129058 8258116 10322645 20645290 41290580 109420037 218840074 437680148 547100185 1094200370 2188400740