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2257375406 = 21113151167313
BaseRepresentation
bin1000011010001100…
…1101000010101110
312211022122112220112
42012203031002232
514110342003111
61011555220022
7106640242256
oct20643150256
95738575815
102257375406
11a59258610
1252bba7612
1329c89cac0
14175b34966
15d32a1e8b
hex868cd0ae

2257375406 has 64 divisors (see below), whose sum is σ = 4041225216. Its totient is φ = 932256000.

The previous prime is 2257375403. The next prime is 2257375433. The reversal of 2257375406 is 6045737522.

It is a super-2 number, since 2×22573754062 = 10191487447227329672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257375403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7211906 + ... + 7212218.

It is an arithmetic number, because the mean of its divisors is an integer number (63144144).

Almost surely, 22257375406 is an apocalyptic number.

2257375406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2257375406 is a deficient number, since it is larger than the sum of its proper divisors (1783849810).

2257375406 is a wasteful number, since it uses less digits than its factorization.

2257375406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 352800, while the sum is 41.

The square root of 2257375406 is about 47511.8449020873. The cubic root of 2257375406 is about 1311.8009156423.

It can be divided in two parts, 22573 and 75406, that added together give a palindrome (97979).

The spelling of 2257375406 in words is "two billion, two hundred fifty-seven million, three hundred seventy-five thousand, four hundred six".

Divisors: 1 2 11 13 22 26 143 151 167 286 302 313 334 626 1661 1837 1963 2171 3322 3443 3674 3926 4069 4342 6886 8138 21593 23881 25217 43186 44759 47263 47762 50434 52271 89518 94526 104542 277387 327821 519893 554774 574981 614419 655642 679523 1039786 1149962 1228838 1359046 3606031 6758609 7212062 7474753 7892921 13517218 14949506 15785842 86822131 102607973 173644262 205215946 1128687703 2257375406