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2273106960 = 2432512724859
BaseRepresentation
bin1000011101111100…
…1101110000010000
312212102020210112200
42013133031300100
514123403410320
61013320323200
7110221042665
oct20737156020
95772223480
102273106960
11a671229a3
12535313500
132a2c1a407
14177c6ba6c
15d485d290
hex877cdc10

2273106960 has 120 divisors (see below), whose sum is σ = 7694269440. Its totient is φ = 601364736.

The previous prime is 2273106947. The next prime is 2273106967. The reversal of 2273106960 is 696013722.

2273106960 is a `hidden beast` number, since 227 + 310 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2273106967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79011 + ... + 103869.

It is an arithmetic number, because the mean of its divisors is an integer number (64118912).

Almost surely, 22273106960 is an apocalyptic number.

2273106960 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 2273106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847134720).

2273106960 is an abundant number, since it is smaller than the sum of its proper divisors (5421162480).

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

2273106960 is a wasteful number, since it uses less digits than its factorization.

2273106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2273106960 is about 47677.1114896865. Note that the first 3 decimals coincide. The cubic root of 2273106960 is about 1314.8411591840.

It can be divided in two parts, 227310 and 6960, that added together give a triangular number (234270 = T684).

The spelling of 2273106960 in words is "two billion, two hundred seventy-three million, one hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1524 1905 2032 2286 2540 3048 3810 4572 5080 5715 6096 7620 9144 10160 11430 15240 18288 22860 24859 30480 45720 49718 74577 91440 99436 124295 149154 198872 223731 248590 298308 372885 397744 447462 497180 596616 745770 894924 994360 1118655 1193232 1491540 1789848 1988720 2237310 2983080 3157093 3579696 4474620 5966160 6314186 8949240 9471279 12628372 15785465 17898480 18942558 25256744 28413837 31570930 37885116 47356395 50513488 56827674 63141860 75770232 94712790 113655348 126283720 142069185 151540464 189425580 227310696 252567440 284138370 378851160 454621392 568276740 757702320 1136553480 2273106960