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2244816 = 2432717131
BaseRepresentation
bin1000100100000011010000
311020001022100
420210003100
51033313231
6120040400
725036440
oct10440320
94201270
102244816
1112a3622
12903100
136079c2
14426120
152e51e6
hex2240d0

2244816 has 120 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 599040.

The previous prime is 2244811. The next prime is 2244821. The reversal of 2244816 is 6184422.

It is an interprime number because it is at equal distance from previous prime (2244811) and next prime (2244821).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2244816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17071 + ... + 17201.

22244816 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 2244816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2244816 is an abundant number, since it is smaller than the sum of its proper divisors (5415408).

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

2244816 is a wasteful number, since it uses less digits than its factorization.

2244816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2244816 is about 1498.2710035237. The cubic root of 2244816 is about 130.9363558530.

The spelling of 2244816 in words is "two million, two hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 131 136 144 153 168 204 238 252 262 272 306 336 357 393 408 476 504 524 612 714 786 816 917 952 1008 1048 1071 1179 1224 1428 1572 1834 1904 2096 2142 2227 2358 2448 2751 2856 3144 3668 4284 4454 4716 5502 5712 6288 6681 7336 8253 8568 8908 9432 11004 13362 14672 15589 16506 17136 17816 18864 20043 22008 26724 31178 33012 35632 40086 44016 46767 53448 62356 66024 80172 93534 106896 124712 132048 140301 160344 187068 249424 280602 320688 374136 561204 748272 1122408 2244816