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2257398 = 2321113877
BaseRepresentation
bin1000100111000111110110
311020200120100
420213013312
51034214043
6120214530
725121223
oct10470766
94220510
102257398
111302020
1290a446
13610650
1442a94a
152e8cd3
hex2271f6

2257398 has 48 divisors (see below), whose sum is σ = 5752656. Its totient is φ = 630720.

The previous prime is 2257397. The next prime is 2257403. The reversal of 2257398 is 8937522.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257391) 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, 2136 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (119847).

22257398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876328).

2257398 is an abundant number, since it is smaller than the sum of its proper divisors (3495258).

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

2257398 is a wasteful number, since it uses less digits than its factorization.

2257398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 906 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2257398 is about 1502.4639762736. The cubic root of 2257398 is about 131.1805292219.

The spelling of 2257398 in words is "two million, two hundred fifty-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 877 1287 1754 2574 2631 5262 7893 9647 11401 15786 19294 22802 28941 34203 57882 68406 86823 102609 125411 173646 205218 250822 376233 752466 1128699 2257398