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2256972 = 223192521
BaseRepresentation
bin1000100111000001001100
311020122222120
420213001030
51034210342
6120212540
725120044
oct10470114
94218876
102256972
111301773
1290a150
136103b3
1442a724
152e8aec
hex22704c

2256972 has 36 divisors (see below), whose sum is σ = 5568696. Its totient is φ = 711360.

The previous prime is 2256959. The next prime is 2256973. The reversal of 2256972 is 2796522.

It is a happy number.

2256972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4072 + ... + 4592.

It is an arithmetic number, because the mean of its divisors is an integer number (154686).

22256972 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 2256972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784348).

2256972 is an abundant number, since it is smaller than the sum of its proper divisors (3311724).

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

2256972 is a wasteful number, since it uses less digits than its factorization.

2256972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 2256972 is about 1502.3222024586. The cubic root of 2256972 is about 131.1722768858.

The spelling of 2256972 in words is "two million, two hundred fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 521 722 1042 1083 1444 1563 2084 2166 3126 4332 6252 9899 19798 29697 39596 59394 118788 188081 376162 564243 752324 1128486 2256972