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2257426920 = 233574757179
BaseRepresentation
bin1000011010001101…
…1001100111101000
312211022202011120110
42012203121213220
514110400130140
61012000254320
7106640545410
oct20643314750
95738664513
102257426920
11a59293291
125300113a0
1329c8ba398
14175b49640
15d32b2380
hex868d99e8

2257426920 has 128 divisors (see below), whose sum is σ = 7904563200. Its totient is φ = 504996096.

The previous prime is 2257426901. The next prime is 2257426921. The reversal of 2257426920 is 296247522.

It is not an unprimeable number, because it can be changed into a prime (2257426921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10891 + ... + 68069.

It is an arithmetic number, because the mean of its divisors is an integer number (61754400).

Almost surely, 22257426920 is an apocalyptic number.

2257426920 is a gapful number since it is divisible by the number (20) 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 2257426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952281600).

2257426920 is an abundant number, since it is smaller than the sum of its proper divisors (5647136280).

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

2257426920 is a wasteful number, since it uses less digits than its factorization.

2257426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57247 (or 57243 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2257426920 is about 47512.3870164402. The cubic root of 2257426920 is about 1311.8108941330.

It can be divided in two parts, 22574 and 26920, that added together give a palindrome (49494).

The spelling of 2257426920 in words is "two billion, two hundred fifty-seven million, four hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 57179 114358 171537 228716 285895 343074 400253 457432 571790 686148 800506 857685 1143580 1200759 1372296 1601012 1715370 2001265 2287160 2401518 2687413 3202024 3430740 4002530 4803036 5374826 6003795 6861480 8005060 8062239 9606072 10749652 12007590 13437065 16010120 16124478 18811891 21499304 24015180 26874130 32248956 37623782 40311195 48030360 53748260 56435673 64497912 75247564 80622390 94059455 107496520 112871346 150495128 161244780 188118910 225742692 282178365 322489560 376237820 451485384 564356730 752475640 1128713460 2257426920