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2240214048 = 253227892
BaseRepresentation
bin1000010110000110…
…1111010000100000
312210010100122221200
42011201233100200
514041443322143
61010143321200
7106341335202
oct20541572040
95703318850
102240214048
11a4a5a6a76
125262b0200
13299171757
14173748772
15d1a121d3
hex8586f420

2240214048 has 54 divisors (see below), whose sum is σ = 6372893709. Its totient is φ = 746470272.

The previous prime is 2240214029. The next prime is 2240214061. The reversal of 2240214048 is 8404120422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2202612624 + 37601424 = 46932^2 + 6132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33468.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 801838 + ... + 804626.

Almost surely, 22240214048 is an apocalyptic number.

It is an amenable number.

2240214048 is an abundant number, since it is smaller than the sum of its proper divisors (4132679661).

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

2240214048 is an frugal number, since it uses more digits than its factorization.

2240214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2240214048 is about 47330.8995055027. The cubic root of 2240214048 is about 1308.4681992481.

The spelling of 2240214048 in words is "two billion, two hundred forty million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2789 5578 8367 11156 16734 22312 25101 33468 44624 50202 66936 89248 100404 133872 200808 267744 401616 803232 7778521 15557042 23335563 31114084 46671126 62228168 70006689 93342252 124456336 140013378 186684504 248912672 280026756 373369008 560053512 746738016 1120107024 2240214048