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2264708432 = 247233723761
BaseRepresentation
bin1000011011111100…
…1011010101010000
312211211110002221002
42012333023111100
514114231132212
61012420321132
7110056463330
oct20677132520
95754402832
102264708432
11a62406a68
125325431a8
132a126977c
14176ac30c0
15d3c4eac2
hex86fcb550

2264708432 has 80 divisors (see below), whose sum is σ = 5374394112. Its totient is φ = 903260160.

The previous prime is 2264708429. The next prime is 2264708443. The reversal of 2264708432 is 2348074622.

2264708432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83432 + ... + 107192.

Almost surely, 22264708432 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 2264708432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687197056).

2264708432 is an abundant number, since it is smaller than the sum of its proper divisors (3109685680).

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

2264708432 is a wasteful number, since it uses less digits than its factorization.

2264708432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23836 (or 23830 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 2264708432 is about 47588.9528357160. The cubic root of 2264708432 is about 1313.2198308351.

The spelling of 2264708432 in words is "two billion, two hundred sixty-four million, seven hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 518 592 644 851 1036 1288 1702 2072 2576 3404 4144 5957 6808 11914 13616 23761 23828 47522 47656 95044 95312 166327 190088 332654 380176 546503 665308 879157 1093006 1330616 1758314 2186012 2661232 3516628 3825521 4372024 6154099 7033256 7651042 8744048 12308198 14066512 15302084 20220611 24616396 30604168 40441222 49232792 61208336 80882444 98465584 141544277 161764888 283088554 323529776 566177108 1132354216 2264708432