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2274060576 = 253227241433
BaseRepresentation
bin1000011110001011…
…0110100100100000
312212111001020122210
42013202312210200
514124124414301
61013353002120
7110232124134
oct20742664440
95774036583
102274060576
11a67714407
125356b3340
132a3192498
141780393c4
15d499aad6
hex878b6920

2274060576 has 96 divisors (see below), whose sum is σ = 6034488768. Its totient is φ = 749813760.

The previous prime is 2274060557. The next prime is 2274060587. The reversal of 2274060576 is 6750604722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5251656 + ... + 5252088.

It is an arithmetic number, because the mean of its divisors is an integer number (62859258).

Almost surely, 22274060576 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 2274060576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017244384).

2274060576 is an abundant number, since it is smaller than the sum of its proper divisors (3760428192).

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

2274060576 is a wasteful number, since it uses less digits than its factorization.

2274060576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2274060576 is about 47687.1112146668. Note that the first 3 decimals coincide. The cubic root of 2274060576 is about 1315.0250012836.

The spelling of 2274060576 in words is "two billion, two hundred seventy-four million, sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 241 433 454 482 681 723 866 908 964 1299 1362 1446 1732 1816 1928 2598 2724 2892 3464 3632 3856 5196 5448 5784 6928 7264 7712 10392 10896 11568 13856 20784 21792 23136 41568 54707 98291 104353 109414 164121 196582 208706 218828 294873 313059 328242 393164 417412 437656 589746 626118 656484 786328 834824 875312 1179492 1252236 1312968 1572656 1669648 1750624 2358984 2504472 2625936 3145312 3339296 4717968 5008944 5251872 9435936 10017888 23688131 47376262 71064393 94752524 142128786 189505048 284257572 379010096 568515144 758020192 1137030288 2274060576