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2258585024 = 26196130449
BaseRepresentation
bin1000011010011111…
…0100010111000000
312211101221000012012
42012213310113000
514111144210044
61012041152052
7106653440663
oct20647642700
95741830165
102258585024
11a59a043a3
1253048b628
1329cc04557
14175d6b6da
15d344059e
hex869f45c0

2258585024 has 56 divisors (see below), whose sum is σ = 4795266000. Its totient is φ = 1052282880.

The previous prime is 2258585023. The next prime is 2258585039. The reversal of 2258585024 is 4205858522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258585023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58952 + ... + 89400.

It is an arithmetic number, because the mean of its divisors is an integer number (85629750).

Almost surely, 22258585024 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 2258585024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397633000).

2258585024 is an abundant number, since it is smaller than the sum of its proper divisors (2536680976).

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

2258585024 is a wasteful number, since it uses less digits than its factorization.

2258585024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30541 (or 30531 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 41.

The square root of 2258585024 is about 47524.5728439509. The cubic root of 2258585024 is about 1312.0351839662.

The spelling of 2258585024 in words is "two billion, two hundred fifty-eight million, five hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 152 244 304 488 608 976 1159 1216 1952 2318 3904 4636 9272 18544 30449 37088 60898 74176 121796 243592 487184 578531 974368 1157062 1857389 1948736 2314124 3714778 4628248 7429556 9256496 14859112 18512992 29718224 35290391 37025984 59436448 70580782 118872896 141161564 282323128 564646256 1129292512 2258585024