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2255604 = 2231319761
BaseRepresentation
bin1000100110101011110100
311020121002220
420212223310
51034134404
6120202340
725113051
oct10465364
94217086
102255604
11130073a
129093b0
1360c8a0
1442a028
152e84d9
hex226af4

2255604 has 48 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 656640.

The previous prime is 2255581. The next prime is 2255609. The reversal of 2255604 is 4065522.

2255604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2584 + ... + 3344.

It is an arithmetic number, because the mean of its divisors is an integer number (124460).

22255604 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 2255604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2255604 is an abundant number, since it is smaller than the sum of its proper divisors (3718476).

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

2255604 is a wasteful number, since it uses less digits than its factorization.

2255604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2255604 is about 1501.8668383049. The cubic root of 2255604 is about 131.1457694026.

The spelling of 2255604 in words is "two million, two hundred fifty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 761 988 1482 1522 2283 2964 3044 4566 9132 9893 14459 19786 28918 29679 39572 43377 57836 59358 86754 118716 173508 187967 375934 563901 751868 1127802 2255604