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2258895828 = 223753895701
BaseRepresentation
bin1000011010100100…
…0000001111010100
312211102111210112110
42012221000033110
514111234131303
61012051551020
7106656204060
oct20651001724
95742453473
102258895828
11a5a0a6962
125305bb470
1329ccb2b67
1417600caa0
15d34a2703
hex86a403d4

2258895828 has 96 divisors (see below), whose sum is σ = 6207425280. Its totient is φ = 625996800.

The previous prime is 2258895827. The next prime is 2258895829. The reversal of 2258895828 is 8285988522.

It is an interprime number because it is at equal distance from previous prime (2258895827) and next prime (2258895829).

It is a super-2 number, since 2×22588958282 = 10205220723511611168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258895827) 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, 393378 + ... + 399078.

It is an arithmetic number, because the mean of its divisors is an integer number (64660680).

Almost surely, 22258895828 is an apocalyptic number.

2258895828 is a gapful number since it is divisible by the number (28) 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 2258895828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103712640).

2258895828 is an abundant number, since it is smaller than the sum of its proper divisors (3948529452).

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

2258895828 is a wasteful number, since it uses less digits than its factorization.

2258895828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5855 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 57.

The square root of 2258895828 is about 47527.8426609077. The cubic root of 2258895828 is about 1312.0953642820.

The spelling of 2258895828 in words is "two billion, two hundred fifty-eight million, eight hundred ninety-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 89 106 159 178 212 267 318 356 371 534 623 636 742 1068 1113 1246 1484 1869 2226 2492 3738 4452 4717 5701 7476 9434 11402 14151 17103 18868 22804 28302 33019 34206 39907 56604 66038 68412 79814 99057 119721 132076 159628 198114 239442 302153 396228 478884 507389 604306 906459 1014778 1208612 1522167 1812918 2029556 2115071 3044334 3551723 3625836 4230142 6088668 6345213 7103446 8460284 10655169 12690426 14206892 21310338 25380852 26891617 42620676 53783234 80674851 107566468 161349702 188241319 322699404 376482638 564723957 752965276 1129447914 2258895828