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2258652 = 2231171241
BaseRepresentation
bin1000100111011011011100
311020202021210
420213123130
51034234102
6120224420
725124664
oct10473334
94222253
102258652
111302a60
1290b110
136110a6
1442b1a4
152e936c
hex2276dc

2258652 has 48 divisors (see below), whose sum is σ = 5854464. Its totient is φ = 672000.

The previous prime is 2258651. The next prime is 2258653. The reversal of 2258652 is 2568522.

2258652 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2258651) and next prime (2258653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

22258652 is an apocalyptic number.

2258652 is a gapful number since it is divisible by the number (22) 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 2258652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232).

2258652 is an abundant number, since it is smaller than the sum of its proper divisors (3595812).

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

2258652 is a wasteful number, since it uses less digits than its factorization.

2258652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 2258652 is about 1502.8812328325. The cubic root of 2258652 is about 131.2048152853.

The spelling of 2258652 in words is "two million, two hundred fifty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 241 284 426 482 723 781 852 964 1446 1562 2343 2651 2892 3124 4686 5302 7953 9372 10604 15906 17111 31812 34222 51333 68444 102666 188221 205332 376442 564663 752884 1129326 2258652