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2252620 = 225235983
BaseRepresentation
bin1000100101111101001100
311020110000101
420211331030
51034040440
6120140444
725101256
oct10457514
94213011
102252620
1112a9477
12907724
1360b416
14428cd6
152e769a
hex225f4c

2252620 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 837056.

The previous prime is 2252611. The next prime is 2252623. The reversal of 2252620 is 262522.

2252620 is digitally balanced in base 2, 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 (2252623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27099 + ... + 27181.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22252620 is an apocalyptic number.

2252620 is a gapful number since it is divisible by the number (20) 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 2252620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2252620 is an abundant number, since it is smaller than the sum of its proper divisors (2827700).

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

2252620 is a wasteful number, since it uses less digits than its factorization.

2252620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2252620 is about 1500.8730792442. The cubic root of 2252620 is about 131.0879117772.

The spelling of 2252620 in words is "two million, two hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 83 92 115 118 166 230 236 295 332 415 460 590 830 1180 1357 1660 1909 2714 3818 4897 5428 6785 7636 9545 9794 13570 19090 19588 24485 27140 38180 48970 97940 112631 225262 450524 563155 1126310 2252620