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2225972 = 227241277
BaseRepresentation
bin1000011111011100110100
311012002110102
420133130310
51032212342
6115413232
724630500
oct10373464
94162412
102225972
111290451
128b4218
135cc258
1441d300
152de832
hex21f734

2225972 has 36 divisors (see below), whose sum is σ = 4658724. Its totient is φ = 927360.

The previous prime is 2225969. The next prime is 2225999. The reversal of 2225972 is 2795222.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 1999396 = 476^2 + 1414^2 .

Its product of digits (5040) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7898 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (129409).

22225972 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 2225972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329362).

2225972 is an abundant number, since it is smaller than the sum of its proper divisors (2432752).

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

2225972 is a wasteful number, since it uses less digits than its factorization.

2225972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 2225972 is about 1491.9691685822. The cubic root of 2225972 is about 130.5689462113.

The spelling of 2225972 in words is "two million, two hundred twenty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 277 287 554 574 1108 1148 1939 2009 3878 4018 7756 8036 11357 13573 22714 27146 45428 54292 79499 158998 317996 556493 1112986 2225972