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2890232240 = 24575161129
BaseRepresentation
bin1010110001000101…
…0111000110110000
321110102111000021112
42230101113012300
521404344412430
61154443412452
7131423366030
oct25421270660
97412430245
102890232240
111253508295
12687b24128
13370a30abc
141d5bd18c0
1511db10195
hexac4571b0

2890232240 has 40 divisors (see below), whose sum is σ = 7679761440. Its totient is φ = 990936576.

The previous prime is 2890232209. The next prime is 2890232243. The reversal of 2890232240 is 422320982.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×28902322402 = 16706884802270835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2890232197 and 2890232206.

It is not an unprimeable number, because it can be changed into a prime (2890232243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580005 + ... + 2581124.

It is an arithmetic number, because the mean of its divisors is an integer number (191994036).

Almost surely, 22890232240 is an apocalyptic number.

2890232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890232240 is an abundant number, since it is smaller than the sum of its proper divisors (4789529200).

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

2890232240 is a wasteful number, since it uses less digits than its factorization.

2890232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161149 (or 5161143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2890232240 is about 53760.8802011277. The cubic root of 2890232240 is about 1424.4402833104.

The spelling of 2890232240 in words is "two billion, eight hundred ninety million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 5161129 10322258 20644516 25805645 36127903 41289032 51611290 72255806 82578064 103222580 144511612 180639515 206445160 289023224 361279030 412890320 578046448 722558060 1445116120 2890232240