Search a number
-
+
2252088 = 2332311009
BaseRepresentation
bin1000100101110100111000
311020102021200
420211310320
51034031323
6120134200
725066566
oct10456470
94212250
102252088
1112a9033
12907360
1360b0c7
14428a36
152e7443
hex225d38

2252088 has 48 divisors (see below), whose sum is σ = 6302400. Its totient is φ = 725760.

The previous prime is 2252087. The next prime is 2252113. The reversal of 2252088 is 8802522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252087) 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, 1728 + ... + 2736.

It is an arithmetic number, because the mean of its divisors is an integer number (131300).

22252088 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 2252088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151200).

2252088 is an abundant number, since it is smaller than the sum of its proper divisors (4050312).

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

2252088 is a wasteful number, since it uses less digits than its factorization.

2252088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2252088 is about 1500.6958386029. The cubic root of 2252088 is about 131.0775913119.

The spelling of 2252088 in words is "two million, two hundred fifty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1009 1116 2018 2232 3027 4036 6054 8072 9081 12108 18162 24216 31279 36324 62558 72648 93837 125116 187674 250232 281511 375348 563022 750696 1126044 2252088