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2274528 = 253192943
BaseRepresentation
bin1000101011010011100000
311021120001210
420223103200
51040241103
6120430120
725222164
oct10532340
94246053
102274528
111313983
12918340
13618399
14432ca4
152ede03
hex22b4e0

2274528 has 96 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 677376.

The previous prime is 2274523. The next prime is 2274541. The reversal of 2274528 is 8254722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2274495 and 2274504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274521) 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, 52875 + ... + 52917.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

22274528 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 2274528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2274528 is an abundant number, since it is smaller than the sum of its proper divisors (4378272).

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

2274528 is a wasteful number, since it uses less digits than its factorization.

2274528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2274528 is about 1508.1538383070. The cubic root of 2274528 is about 131.5115094477.

The spelling of 2274528 in words is "two million, two hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 43 48 57 58 76 86 87 96 114 116 129 152 172 174 228 232 258 304 344 348 456 464 516 551 608 688 696 817 912 928 1032 1102 1247 1376 1392 1634 1653 1824 2064 2204 2451 2494 2784 3268 3306 3741 4128 4408 4902 4988 6536 6612 7482 8816 9804 9976 13072 13224 14964 17632 19608 19952 23693 26144 26448 29928 39216 39904 47386 52896 59856 71079 78432 94772 119712 142158 189544 284316 379088 568632 758176 1137264 2274528