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2258916 = 22311109157
BaseRepresentation
bin1000100111011111100100
311020202122120
420213133210
51034241131
6120225540
725125522
oct10473744
94222576
102258916
111303180
1290b2b0
1361124a
1442b312
152e9496
hex2277e4

2258916 has 48 divisors (see below), whose sum is σ = 5839680. Its totient is φ = 673920.

The previous prime is 2258903. The next prime is 2258917. The reversal of 2258916 is 6198522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2258917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14310 + ... + 14466.

It is an arithmetic number, because the mean of its divisors is an integer number (121660).

22258916 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 2258916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919840).

2258916 is an abundant number, since it is smaller than the sum of its proper divisors (3580764).

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

2258916 is a wasteful number, since it uses less digits than its factorization.

2258916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2258916 is about 1502.9690615578. The cubic root of 2258916 is about 131.2099269953.

The spelling of 2258916 in words is "two million, two hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 157 218 314 327 436 471 628 654 942 1199 1308 1727 1884 2398 3454 3597 4796 5181 6908 7194 10362 14388 17113 20724 34226 51339 68452 102678 188243 205356 376486 564729 752972 1129458 2258916