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2272756680 = 2332529217697
BaseRepresentation
bin1000011101110111…
…1000001111001000
312212101121000001100
42013131320033020
514123311203210
61013305021400
7110215053525
oct20735701710
95771530040
102272756680
11a66a03807
12535184860
132a2b26b4c
14177bba14c
15d47de5c0
hex877783c8

2272756680 has 96 divisors (see below), whose sum is σ = 7641199800. Its totient is φ = 585166848.

The previous prime is 2272756679. The next prime is 2272756691. The reversal of 2272756680 is 866572722.

2272756680 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 7 + 566 + 80 = 666.

2272756680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2212197156 + 60559524 = 47034^2 + 7782^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98409 + ... + 119288.

Almost surely, 22272756680 is an apocalyptic number.

2272756680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272756680 is an abundant number, since it is smaller than the sum of its proper divisors (5368443120).

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

2272756680 is a wasteful number, since it uses less digits than its factorization.

2272756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217743 (or 217736 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2272756680 is about 47673.4378873603. The cubic root of 2272756680 is about 1314.7736178220.

The spelling of 2272756680 in words is "two billion, two hundred seventy-two million, seven hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 217697 435394 653091 870788 1088485 1306182 1741576 1959273 2176970 2612364 3265455 3918546 4353940 5224728 6313213 6530910 7837092 8707880 9796365 12626426 13061820 15674184 18939639 19592730 25252852 26123640 31566065 37879278 39185460 50505704 56818917 63132130 75758556 78370920 94698195 113637834 126264260 151517112 189396390 227275668 252528520 284094585 378792780 454551336 568189170 757585560 1136378340 2272756680