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2258984 = 2371329107
BaseRepresentation
bin1000100111100000101000
311020202202002
420213200220
51034241414
6120230132
725125650
oct10474050
94222662
102258984
111303232
1290b348
136112a0
1442b360
152e94de
hex227828

2258984 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 854784.

The previous prime is 2258981. The next prime is 2258987. The reversal of 2258984 is 4898522.

It is an interprime number because it is at equal distance from previous prime (2258981) and next prime (2258987).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2258981) 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, 21059 + ... + 21165.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22258984 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 2258984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2258984 is an abundant number, since it is smaller than the sum of its proper divisors (3184216).

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

2258984 is a wasteful number, since it uses less digits than its factorization.

2258984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 2258984 is about 1502.9916832771. The cubic root of 2258984 is about 131.2112435833.

The spelling of 2258984 in words is "two million, two hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 107 116 182 203 214 232 364 377 406 428 728 749 754 812 856 1391 1498 1508 1624 2639 2782 2996 3016 3103 5278 5564 5992 6206 9737 10556 11128 12412 19474 21112 21721 24824 38948 40339 43442 77896 80678 86884 161356 173768 282373 322712 564746 1129492 2258984