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2248488 = 23321117167
BaseRepresentation
bin1000100100111100101000
311020020100100
420210330220
51033422423
6120105400
725053234
oct10447450
94206310
102248488
1112a6360
12905260
13609588
144275c4
152e6343
hex224f28

2248488 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 637440.

The previous prime is 2248469. The next prime is 2248489. The reversal of 2248488 is 8848422.

It is a super-2 number, since 2×22484882 = 10111396572288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2248489) 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, 13381 + ... + 13547.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22248488 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 2248488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2248488 is an abundant number, since it is smaller than the sum of its proper divisors (4827672).

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

2248488 is a wasteful number, since it uses less digits than its factorization.

2248488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2248488 is about 1499.4959152995. The cubic root of 2248488 is about 131.0077108295.

The spelling of 2248488 in words is "two million, two hundred forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 167 187 198 204 264 306 334 374 396 408 501 561 612 668 748 792 1002 1122 1224 1336 1496 1503 1683 1837 2004 2244 2839 3006 3366 3674 4008 4488 5511 5678 6012 6732 7348 8517 11022 11356 12024 13464 14696 16533 17034 22044 22712 25551 31229 33066 34068 44088 51102 62458 66132 68136 93687 102204 124916 132264 187374 204408 249832 281061 374748 562122 749496 1124244 2248488