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2274500008 = 2311313492389
BaseRepresentation
bin1000011110010010…
…0001110110101000
312212111212120110001
42013210201312220
514124233000013
61013410232344
7110235634234
oct20744416650
95774776401
102274500008
11a67994580
125358856b4
132a32b74c1
141781115c4
15d4a35ddd
hex87921da8

2274500008 has 64 divisors (see below), whose sum is σ = 4818240000. Its totient is φ = 997228800.

The previous prime is 2274499991. The next prime is 2274500017. The reversal of 2274500008 is 8000054722.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950878 + ... + 953266.

It is an arithmetic number, because the mean of its divisors is an integer number (75285000).

Almost surely, 22274500008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274500008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409120000).

2274500008 is an abundant number, since it is smaller than the sum of its proper divisors (2543739992).

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

2274500008 is a wasteful number, since it uses less digits than its factorization.

2274500008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2274500008 is about 47691.7184425137. The cubic root of 2274500008 is about 1315.1096995330.

The spelling of 2274500008 in words is "two billion, two hundred seventy-four million, five hundred thousand, eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 349 682 698 1364 1396 2389 2728 2792 3839 4778 7678 9556 10819 15356 19112 21638 26279 30712 43276 52558 74059 86552 105116 119009 148118 210232 238018 296236 476036 592472 814649 833761 952072 1629298 1667522 3258596 3335044 6517192 6670088 9171371 18342742 25846591 36685484 51693182 73370968 103386364 206772728 284312501 568625002 1137250004 2274500008