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2251158 = 2372131931
BaseRepresentation
bin1000100101100110010110
311020101000020
420211212112
51034014113
6120130010
725064100
oct10454626
94211006
102251158
1112a8368
12906906
1360a860
14428570
152e7023
hex225996

2251158 has 96 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 544320.

The previous prime is 2251153. The next prime is 2251163. The reversal of 2251158 is 8511522.

It is an interprime number because it is at equal distance from previous prime (2251153) and next prime (2251163).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72603 + ... + 72633.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

22251158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2251158 is an abundant number, since it is smaller than the sum of its proper divisors (3877482).

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

2251158 is a wasteful number, since it uses less digits than its factorization.

2251158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 2251158 is about 1500.3859503474. The cubic root of 2251158 is about 131.0595459922.

The spelling of 2251158 in words is "two million, two hundred fifty-one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 31 38 39 42 49 57 62 78 91 93 98 114 133 147 182 186 217 247 266 273 294 399 403 434 494 546 589 637 651 741 798 806 931 1178 1209 1274 1302 1482 1519 1729 1767 1862 1911 2418 2793 2821 3038 3458 3534 3822 4123 4557 5187 5586 5642 7657 8246 8463 9114 10374 12103 12369 15314 16926 19747 22971 24206 24738 28861 36309 39494 45942 53599 57722 59241 72618 86583 107198 118482 160797 173166 321594 375193 750386 1125579 2251158