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2259796 = 2271122329
BaseRepresentation
bin1000100111101101010100
311020210212011
420213231110
51034303141
6120234004
725131220
oct10475524
94223764
102259796
111303900
1290b904
13611776
1442b780
152e9881
hex227b54

2259796 has 72 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 813120.

The previous prime is 2259791. The next prime is 2259811. The reversal of 2259796 is 6979522.

It is a happy number.

2259796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 28 + 220 + 58 + 94 + 74 + 96 + 67 .

Its product of digits (68040) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259791) 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 23 ways as a sum of consecutive naturals, for example, 77910 + ... + 77938.

It is an arithmetic number, because the mean of its divisors is an integer number (74480).

22259796 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 2259796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2259796 is an abundant number, since it is smaller than the sum of its proper divisors (3102764).

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

2259796 is a wasteful number, since it uses less digits than its factorization.

2259796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 2259796 is about 1503.2617869154. The cubic root of 2259796 is about 131.2269631526.

The spelling of 2259796 in words is "two million, two hundred fifty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 23 28 29 44 46 58 77 92 116 121 154 161 203 242 253 308 319 322 406 484 506 638 644 667 812 847 1012 1276 1334 1694 1771 2233 2668 2783 3388 3509 3542 4466 4669 5566 7018 7084 7337 8932 9338 11132 14036 14674 18676 19481 24563 29348 38962 49126 51359 77924 80707 98252 102718 161414 205436 322828 564949 1129898 2259796