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2300070272 = 27296011031
BaseRepresentation
bin1000100100011000…
…0100100110000000
312221021222200020212
42021012010212000
514202304222042
61020122253252
7110666163143
oct21106044600
95837880225
102300070272
11a80369925
12542357228
132a869b136
1417b68a05a
15d6dd7482
hex89184980

2300070272 has 64 divisors (see below), whose sum is σ = 4752669600. Its totient is φ = 1107456000.

The previous prime is 2300070271. The next prime is 2300070281. The reversal of 2300070272 is 2720700032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23000702722 = 10580646512276307968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300070271) 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, 2230397 + ... + 2231427.

Almost surely, 22300070272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376334800).

2300070272 is an abundant number, since it is smaller than the sum of its proper divisors (2452599328).

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

2300070272 is a wasteful number, since it uses less digits than its factorization.

2300070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 2300070272 is about 47959.0478637764. The cubic root of 2300070272 is about 1320.0195650605.

The spelling of 2300070272 in words is "two billion, three hundred million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 601 928 1031 1202 1856 2062 2404 3712 4124 4808 8248 9616 16496 17429 19232 29899 32992 34858 38464 59798 65984 69716 76928 119596 131968 139432 239192 278864 478384 557728 619631 956768 1115456 1239262 1913536 2230912 2478524 3827072 4957048 9914096 17969299 19828192 35938598 39656384 71877196 79312768 143754392 287508784 575017568 1150035136 2300070272