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2254375060 = 2257971091523
BaseRepresentation
bin1000011001011111…
…0000100010010100
312211010000010012121
42012113300202110
514104110000220
61011411025324
7106602605020
oct20627604224
95733003177
102254375060
11a57599393
1252ab9b244
1329c08c252
14175593380
15d2daceaa
hex865f0894

2254375060 has 96 divisors (see below), whose sum is σ = 5520049920. Its totient is φ = 757444608.

The previous prime is 2254375051. The next prime is 2254375093. The reversal of 2254375060 is 605734522.

It is a super-2 number, since 2×22543750602 = 10164413822300007200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479459 + ... + 1480981.

It is an arithmetic number, because the mean of its divisors is an integer number (57500520).

Almost surely, 22254375060 is an apocalyptic number.

2254375060 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 2254375060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760024960).

2254375060 is an abundant number, since it is smaller than the sum of its proper divisors (3265674860).

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

2254375060 is a wasteful number, since it uses less digits than its factorization.

2254375060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 2254375060 is about 47480.2596875796. The cubic root of 2254375060 is about 1311.2194731902.

The spelling of 2254375060 in words is "two billion, two hundred fifty-four million, three hundred seventy-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 109 140 194 218 388 436 485 545 679 763 970 1090 1358 1523 1526 1940 2180 2716 3046 3052 3395 3815 6092 6790 7615 7630 10573 10661 13580 15230 15260 21146 21322 30460 42292 42644 52865 53305 74011 105730 106610 147731 148022 166007 211460 213220 295462 296044 332014 370055 590924 664028 738655 740110 830035 1034117 1162049 1477310 1480220 1660070 2068234 2324098 2954620 3320140 4136468 4648196 5170585 5810245 10341170 11620490 16102679 20682340 23240980 32205358 64410716 80513395 112718753 161026790 225437506 322053580 450875012 563593765 1127187530 2254375060