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2270994726 = 23711131093469
BaseRepresentation
bin1000011101011100…
…1010000100100110
312212021021111002210
42013113022010212
514122333312401
61013203144250
7110164064610
oct20727120446
95767244083
102270994726
11a65a0aa50
12534675086
132a265ab80
1417787bdb0
15d45924d6
hex875ca126

2270994726 has 128 divisors (see below), whose sum is σ = 6156057600. Its totient is φ = 539343360.

The previous prime is 2270994709. The next prime is 2270994731. The reversal of 2270994726 is 6274990722.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652920 + ... + 656388.

It is an arithmetic number, because the mean of its divisors is an integer number (48094200).

Almost surely, 22270994726 is an apocalyptic number.

2270994726 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270994726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078028800).

2270994726 is an abundant number, since it is smaller than the sum of its proper divisors (3885062874).

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

2270994726 is a wasteful number, since it uses less digits than its factorization.

2270994726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614.

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 2270994726 is about 47654.9548945333. The cubic root of 2270994726 is about 1314.4337706878.

The spelling of 2270994726 in words is "two billion, two hundred seventy million, nine hundred ninety-four thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 109 143 154 182 218 231 273 286 327 429 462 546 654 763 858 1001 1199 1417 1526 2002 2289 2398 2834 3003 3469 3597 4251 4578 6006 6938 7194 8393 8502 9919 10407 15587 16786 19838 20814 24283 25179 29757 31174 38159 45097 46761 48566 50358 59514 72849 76318 90194 93522 109109 114477 135291 145698 218218 228954 267113 270582 315679 327327 378121 496067 534226 631358 654654 756242 801339 947037 992134 1134363 1488201 1602678 1894074 2268726 2646847 2976402 3472469 4159331 4915573 5293694 6944938 7940541 8318662 9831146 10417407 12477993 14746719 15881082 20834814 24955986 29115317 29493438 34409011 54071303 58230634 68818022 87345951 103227033 108142606 162213909 174691902 206454066 324427818 378499121 756998242 1135497363 2270994726