Search a number
-
+
2257974 = 2321747157
BaseRepresentation
bin1000100111010000110110
311020201100200
420213100312
51034223344
6120221330
725123005
oct10472066
94221320
102257974
1113024a4
1290a846
136109a4
1442ac3c
152e9069
hex227436

2257974 has 48 divisors (see below), whose sum is σ = 5323968. Its totient is φ = 688896.

The previous prime is 2257961. The next prime is 2257987. The reversal of 2257974 is 4797522.

It is an interprime number because it is at equal distance from previous prime (2257961) and next prime (2257987).

It is a d-powerful number, because it can be written as 2 + 221 + 57 + 73 + 9 + 75 + 48 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (110916).

22257974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661984).

2257974 is an abundant number, since it is smaller than the sum of its proper divisors (3065994).

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

2257974 is a wasteful number, since it uses less digits than its factorization.

2257974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2257974 is about 1502.6556491758. The cubic root of 2257974 is about 131.1916856594.

The spelling of 2257974 in words is "two million, two hundred fifty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 157 282 306 314 423 471 799 846 942 1413 1598 2397 2669 2826 4794 5338 7191 7379 8007 14382 14758 16014 22137 24021 44274 48042 66411 125443 132822 250886 376329 752658 1128987 2257974