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2254093656 = 2332322717989
BaseRepresentation
bin1000011001011010…
…1011110101011000
312211002110211012020
42012112223311120
514104021444111
61011401014440
7106600323423
oct20626536530
95732424166
102254093656
11a57416a21
1252aa84420
1329bcc1139
1417551c9ba
15d2d54906
hex865abd58

2254093656 has 64 divisors (see below), whose sum is σ = 5906476800. Its totient is φ = 715490688.

The previous prime is 2254093637. The next prime is 2254093661. The reversal of 2254093656 is 6563904522.

It is a happy number.

2254093656 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, 116310 + ... + 134298.

It is an arithmetic number, because the mean of its divisors is an integer number (92288700).

Almost surely, 22254093656 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 2254093656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953238400).

2254093656 is an abundant number, since it is smaller than the sum of its proper divisors (3652383144).

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

2254093656 is a wasteful number, since it uses less digits than its factorization.

2254093656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18248 (or 18244 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 2254093656 is about 47477.2962161916. The cubic root of 2254093656 is about 1311.1649129464.

The spelling of 2254093656 in words is "two billion, two hundred fifty-four million, ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 227 276 454 552 681 908 1362 1816 2724 5221 5448 10442 15663 17989 20884 31326 35978 41768 53967 62652 71956 107934 125304 143912 215868 413747 431736 827494 1241241 1654988 2482482 3309976 4083503 4964964 8167006 9929928 12250509 16334012 24501018 32668024 49002036 93920569 98004072 187841138 281761707 375682276 563523414 751364552 1127046828 2254093656