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2253966 = 2311133771
BaseRepresentation
bin1000100110010010001110
311020111212020
420212102032
51034111331
6120151010
725105221
oct10462216
94214766
102253966
1112aa490
12908466
1360bc10
144295b8
152e7c96
hex22648e

2253966 has 64 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 604800.

The previous prime is 2253959. The next prime is 2253971. The reversal of 2253966 is 6693522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31711 + ... + 31781.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22253966 is an apocalyptic number.

2253966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2253966 is an abundant number, since it is smaller than the sum of its proper divisors (3261810).

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

2253966 is a wasteful number, since it uses less digits than its factorization.

2253966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its digits is 19440, while the sum is 33.

The square root of 2253966 is about 1501.3214179515. The cubic root of 2253966 is about 131.1140160762.

The spelling of 2253966 in words is "two million, two hundred fifty-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 71 74 78 111 142 143 213 222 286 407 426 429 481 781 814 858 923 962 1221 1443 1562 1846 2343 2442 2627 2769 2886 4686 5254 5291 5538 7881 10153 10582 15762 15873 20306 28897 30459 31746 34151 57794 60918 68302 86691 102453 173382 204906 375661 751322 1126983 2253966