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2274606816 = 25327678563
BaseRepresentation
bin1000011110010011…
…1011111011100000
312212112001222221220
42013210323323200
514124244404231
61013412415040
7110236560516
oct20744737340
95775058856
102274606816
11a67a57849
12535917480
132a3323cc1
1417813c4b6
15d4a57896
hex8793bee0

2274606816 has 48 divisors (see below), whose sum is σ = 5973698304. Its totient is φ = 757839744.

The previous prime is 2274606799. The next prime is 2274606821. The reversal of 2274606816 is 6186064722.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261351 + ... + 269913.

It is an arithmetic number, because the mean of its divisors is an integer number (124452048).

Almost surely, 22274606816 is an apocalyptic number.

It is an amenable number.

2274606816 is an abundant number, since it is smaller than the sum of its proper divisors (3699091488).

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

2274606816 is a wasteful number, since it uses less digits than its factorization.

2274606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2274606816 is about 47692.8382044936. The cubic root of 2274606816 is about 1315.1302845755.

The spelling of 2274606816 in words is "two billion, two hundred seventy-four million, six hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2767 5534 8301 8563 11068 16602 17126 22136 25689 33204 34252 44272 51378 66408 68504 88544 102756 132816 137008 205512 265632 274016 411024 822048 23693821 47387642 71081463 94775284 142162926 189550568 284325852 379101136 568651704 758202272 1137303408 2274606816