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2240310464 = 26715793167
BaseRepresentation
bin1000010110001000…
…0110110011000000
312210010112120012122
42011202012303000
514042004413324
61010145343412
7106342216250
oct20542066300
95703476178
102240310464
11a4a662457
12526337b68
132991a65c2
14173771960
15d1a30a5e
hex85886cc0

2240310464 has 56 divisors (see below), whose sum is σ = 5085527040. Its totient is φ = 959222016.

The previous prime is 2240310437. The next prime is 2240310503. The reversal of 2240310464 is 4640130422.

It is a tau number, because it is divible by the number of its divisors (56).

2240310464 is a modest number, since divided by 310464 gives 2240 as remainder.

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, 705809 + ... + 708975.

Almost surely, 22240310464 is an apocalyptic number.

It is an amenable number.

2240310464 is an abundant number, since it is smaller than the sum of its proper divisors (2845216576).

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

2240310464 is a wasteful number, since it uses less digits than its factorization.

2240310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2240310464 is about 47331.9180257889. The cubic root of 2240310464 is about 1308.4869705883.

Adding to 2240310464 its reverse (4640130422), we get a palindrome (6880440886).

The spelling of 2240310464 in words is "two billion, two hundred forty million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1579 3158 3167 6316 6334 11053 12632 12668 22106 22169 25264 25336 44212 44338 50528 50672 88424 88676 101056 101344 176848 177352 202688 353696 354704 707392 709408 1418816 5000693 10001386 20002772 35004851 40005544 70009702 80011088 140019404 160022176 280038808 320044352 560077616 1120155232 2240310464