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2260264272 = 243738917293
BaseRepresentation
bin1000011010111000…
…1110010101010000
312211112002022200120
42012232032111100
514112111424042
61012141150240
7110003633520
oct20656162520
95745068616
102260264272
11a5a951002
12530b5b380
132a03719a6
14176287680
15d3672dec
hex86b8e550

2260264272 has 80 divisors (see below), whose sum is σ = 6690702720. Its totient is φ = 644092416.

The previous prime is 2260264261. The next prime is 2260264273. The reversal of 2260264272 is 2724620622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260264273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122058 + ... + 139350.

It is an arithmetic number, because the mean of its divisors is an integer number (83633784).

Almost surely, 22260264272 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 2260264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345351360).

2260264272 is an abundant number, since it is smaller than the sum of its proper divisors (4430438448).

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

2260264272 is a wasteful number, since it uses less digits than its factorization.

2260264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700 (or 17694 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2260264272 is about 47542.2367164188. The cubic root of 2260264272 is about 1312.3602675369.

Adding to 2260264272 its reverse (2724620622), we get a palindrome (4984884894).

The spelling of 2260264272 in words is "two billion, two hundred sixty million, two hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 16338 17293 18672 21784 32676 34586 43568 51879 65352 69172 103758 121051 130704 138344 207516 242102 276688 363153 415032 484204 726306 830064 968408 1452612 1936816 2905224 5810448 6726977 13453954 20180931 26907908 40361862 47088839 53815816 80723724 94177678 107631632 141266517 161447448 188355356 282533034 322894896 376710712 565066068 753421424 1130132136 2260264272