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2252610 = 2375103
BaseRepresentation
bin1000100101111101000010
311020110000000
420211331002
51034040420
6120140430
725101243
oct10457502
94213000
102252610
1112a9468
12907716
1360b409
14428cca
152e7690
hex225f42

2252610 has 64 divisors (see below), whose sum is σ = 6140160. Its totient is φ = 594864.

The previous prime is 2252587. The next prime is 2252611. The reversal of 2252610 is 162522.

2252610 is a `hidden beast` number, since 2 + 2 + 52 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21819 + ... + 21921.

It is an arithmetic number, because the mean of its divisors is an integer number (95940).

22252610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070080).

2252610 is an abundant number, since it is smaller than the sum of its proper divisors (3887550).

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

2252610 is an equidigital number, since it uses as much as digits as its factorization.

2252610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252610 is about 1500.8697478462. The cubic root of 2252610 is about 131.0877177985.

The spelling of 2252610 in words is "two million, two hundred fifty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 243 270 309 405 486 515 618 729 810 927 1030 1215 1458 1545 1854 2187 2430 2781 3090 3645 4374 4635 5562 7290 8343 9270 10935 13905 16686 21870 25029 27810 41715 50058 75087 83430 125145 150174 225261 250290 375435 450522 750870 1126305 2252610