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2257199424 = 263213192971
BaseRepresentation
bin1000011010001010…
…0010000101000000
312211022022121111200
42012202202011000
514110320340144
61011551341200
7106635610224
oct20642420500
95738277450
102257199424
11a59148377
1252bb21800
1329c83a97c
14175aca784
15d3269c69
hex868a2140

2257199424 has 84 divisors (see below), whose sum is σ = 6476939040. Its totient is φ = 751576320.

The previous prime is 2257199407. The next prime is 2257199437. The reversal of 2257199424 is 4249917522.

It is a self number, because there is not a number n which added to its sum of digits gives 2257199424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758259 + ... + 761229.

Almost surely, 22257199424 is an apocalyptic number.

2257199424 is a gapful number since it is divisible by the number (24) 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 2257199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238469520).

2257199424 is an abundant number, since it is smaller than the sum of its proper divisors (4219739616).

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

2257199424 is a wasteful number, since it uses less digits than its factorization.

2257199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4295 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2257199424 is about 47509.9928857077. The cubic root of 2257199424 is about 1311.7668260018.

The spelling of 2257199424 in words is "two billion, two hundred fifty-seven million, one hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1319 2638 2971 3957 5276 5942 7914 8913 10552 11871 11884 15828 17826 21104 23742 23768 26739 31656 35652 42208 47484 47536 53478 63312 71304 84416 94968 95072 106956 126624 142608 189936 190144 213912 253248 285216 379872 427824 570432 759744 855648 1711296 3918749 7837498 11756247 15674996 23512494 31349992 35268741 47024988 62699984 70537482 94049976 125399968 141074964 188099952 250799936 282149928 376199904 564299856 752399808 1128599712 2257199424