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2250816 = 26319617
BaseRepresentation
bin1000100101100001000000
311020100112120
420211201000
51034011231
6120124240
725063101
oct10454100
94210476
102250816
1112a8087
12906680
1360a659
144283a8
152e6d96
hex225840

2250816 has 56 divisors (see below), whose sum is σ = 6278880. Its totient is φ = 709632.

The previous prime is 2250799. The next prime is 2250869. The reversal of 2250816 is 6180522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3340 + ... + 3956.

22250816 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 2250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139440).

2250816 is an abundant number, since it is smaller than the sum of its proper divisors (4028064).

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

2250816 is a wasteful number, since it uses less digits than its factorization.

2250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2250816 is about 1500.2719753431. The cubic root of 2250816 is about 131.0529087216.

The spelling of 2250816 in words is "two million, two hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 617 912 1216 1234 1824 1851 2468 3648 3702 4936 7404 9872 11723 14808 19744 23446 29616 35169 39488 46892 59232 70338 93784 118464 140676 187568 281352 375136 562704 750272 1125408 2250816