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2265453432 = 233211101127223
BaseRepresentation
bin1000011100001000…
…0001001101111000
312211212211221212200
42013002001031320
514114424002212
61012444310200
7110066015334
oct20702011570
95755757780
102265453432
11a62875770
12532842360
132a146a8b8
14176c387c4
15d3d4a6dc
hex87081378

2265453432 has 192 divisors, whose sum is σ = 6843432960. Its totient is φ = 671328000.

The previous prime is 2265453403. The next prime is 2265453451. The reversal of 2265453432 is 2343545622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10158873 + ... + 10159095.

It is an arithmetic number, because the mean of its divisors is an integer number (35642880).

Almost surely, 22265453432 is an apocalyptic number.

2265453432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421716480).

2265453432 is an abundant number, since it is smaller than the sum of its proper divisors (4577979528).

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

2265453432 is a wasteful number, since it uses less digits than its factorization.

2265453432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2265453432 is about 47596.7796389630. The cubic root of 2265453432 is about 1313.3638142725.

The spelling of 2265453432 in words is "two billion, two hundred sixty-five million, four hundred fifty-three thousand, four hundred thirty-two".