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2255624 = 23747857
BaseRepresentation
bin1000100110101100001000
311020121010122
420212230020
51034134444
6120202412
725113110
oct10465410
94217118
102255624
111300758
12909408
1360c8b7
1442a040
152e84ee
hex226b08

2255624 has 32 divisors (see below), whose sum is σ = 4942080. Its totient is φ = 945024.

The previous prime is 2255621. The next prime is 2255639. The reversal of 2255624 is 4265522.

It is a super-4 number, since 4×22556244 (a number of 27 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2255593 and 2255602.

It is not an unprimeable number, because it can be changed into a prime (2255621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2204 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (154440).

22255624 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 2255624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040).

2255624 is an abundant number, since it is smaller than the sum of its proper divisors (2686456).

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

2255624 is a wasteful number, since it uses less digits than its factorization.

2255624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 2255624 is about 1501.8734966701. The cubic root of 2255624 is about 131.1461570161.

The spelling of 2255624 in words is "two million, two hundred fifty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 857 1316 1714 2632 3428 5999 6856 11998 23996 40279 47992 80558 161116 281953 322232 563906 1127812 2255624