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2265252 = 223111312
BaseRepresentation
bin1000101001000010100100
311021002100020
420221002210
51034442002
6120315140
725153143
oct10510244
94232306
102265252
111307a10
12912ab0
136140b2
1442d75a
152eb2bc
hex2290a4

2265252 has 36 divisors (see below), whose sum is σ = 5810448. Its totient is φ = 681200.

The previous prime is 2265239. The next prime is 2265269. The reversal of 2265252 is 2525622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17227 + ... + 17357.

22265252 is an apocalyptic number.

2265252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905224).

2265252 is an abundant number, since it is smaller than the sum of its proper divisors (3545196).

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

2265252 is a wasteful number, since it uses less digits than its factorization.

2265252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 147 counting only the distinct ones).

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

The square root of 2265252 is about 1505.0754133930. The cubic root of 2265252 is about 131.3324887357.

The spelling of 2265252 in words is "two million, two hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 17161 17292 34322 51483 68644 102966 188771 205932 377542 566313 755084 1132626 2265252