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2253108 = 22311132101
BaseRepresentation
bin1000100110000100110100
311020110200110
420212010310
51034044413
6120143020
725102554
oct10460464
94213613
102253108
1112a9880
12907a70
1360b700
14429164
152e78c3
hex226134

2253108 has 72 divisors (see below), whose sum is σ = 6271776. Its totient is φ = 624000.

The previous prime is 2253101. The next prime is 2253113. The reversal of 2253108 is 8013522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22258 + ... + 22358.

It is an arithmetic number, because the mean of its divisors is an integer number (87108).

22253108 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 2253108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135888).

2253108 is an abundant number, since it is smaller than the sum of its proper divisors (4018668).

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

2253108 is a wasteful number, since it uses less digits than its factorization.

2253108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2253108 is about 1501.0356424816. The cubic root of 2253108 is about 131.0973772415.

It can be divided in two parts, 225 and 3108, that added together give a palindrome (3333).

The spelling of 2253108 in words is "two million, two hundred fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 169 202 286 303 338 404 429 507 572 606 676 858 1014 1111 1212 1313 1716 1859 2028 2222 2626 3333 3718 3939 4444 5252 5577 6666 7436 7878 11154 13332 14443 15756 17069 22308 28886 34138 43329 51207 57772 68276 86658 102414 173316 187759 204828 375518 563277 751036 1126554 2253108