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2270706464 = 251323733251
BaseRepresentation
bin1000011101011000…
…0011101100100000
312212020201211200102
42013112003230200
514122300101324
61013153041532
7110161454315
oct20726035440
95766654612
102270706464
11a65833414
125345562a8
132a25898c0
14177804d0c
15d4536dae
hex87583b20

2270706464 has 96 divisors (see below), whose sum is σ = 5094036864. Its totient is φ = 988416000.

The previous prime is 2270706463. The next prime is 2270706523. The reversal of 2270706464 is 4646070722.

It is a super-2 number, since 2×22707064642 = 10312215691302766592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2270706463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696839 + ... + 700089.

It is an arithmetic number, because the mean of its divisors is an integer number (53062884).

Almost surely, 22270706464 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 2270706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547018432).

2270706464 is an abundant number, since it is smaller than the sum of its proper divisors (2823330400).

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

2270706464 is a wasteful number, since it uses less digits than its factorization.

2270706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 2270706464 is about 47651.9303281619. The cubic root of 2270706464 is about 1314.3781537466.

The spelling of 2270706464 in words is "two billion, two hundred seventy million, seven hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 73 92 104 146 184 208 292 299 368 416 584 598 736 949 1168 1196 1679 1898 2336 2392 3251 3358 3796 4784 6502 6716 7592 9568 13004 13432 15184 21827 26008 26864 30368 42263 43654 52016 53728 74773 84526 87308 104032 149546 169052 174616 237323 299092 338104 349232 474646 598184 676208 698464 949292 972049 1196368 1352416 1898584 1944098 2392736 3085199 3797168 3888196 5458429 6170398 7594336 7776392 10916858 12340796 15552784 21833716 24681592 31105568 43667432 49363184 70959577 87334864 98726368 141919154 174669728 283838308 567676616 1135353232 2270706464