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2264000440 = 235134353847
BaseRepresentation
bin1000011011110001…
…1110011110111000
312211210010010202011
42012330132132320
514114041003230
61012353215304
7110050454242
oct20674363670
95753103664
102264000440
11a61a73049
12532261534
132a107c440
1417697b092
15d3b5ee2a
hex86f1e7b8

2264000440 has 32 divisors (see below), whose sum is σ = 5485848480. Its totient is φ = 835938432.

The previous prime is 2264000419. The next prime is 2264000489. The reversal of 2264000440 is 440004622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2176404 + ... + 2177443.

It is an arithmetic number, because the mean of its divisors is an integer number (171432765).

Almost surely, 22264000440 is an apocalyptic number.

2264000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264000440 is an abundant number, since it is smaller than the sum of its proper divisors (3221848040).

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

2264000440 is a wasteful number, since it uses less digits than its factorization.

2264000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353871 (or 4353867 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2264000440 is about 47581.5136371259. The cubic root of 2264000440 is about 1313.0829705335.

The spelling of 2264000440 in words is "two billion, two hundred sixty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4353847 8707694 17415388 21769235 34830776 43538470 56600011 87076940 113200022 174153880 226400044 283000055 452800088 566000110 1132000220 2264000440