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2920096224 = 25333379741
BaseRepresentation
bin1010111000001101…
…0010000111100000
321112111200020222000
42232003102013200
521440021034344
61201431444000
7132235260033
oct25603220740
97474606860
102920096224
111269355571
12695b26600
13376c88bb6
141d9b6701a
1512155da69
hexae0d21e0

2920096224 has 48 divisors (see below), whose sum is σ = 8516949840. Its totient is φ = 973365120.

The previous prime is 2920096213. The next prime is 2920096279. The reversal of 2920096224 is 4226900292.

It is a happy number.

2920096224 is a `hidden beast` number, since 2 + 9 + 20 + 0 + 9 + 622 + 4 = 666.

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

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1689007 + ... + 1690734.

It is an arithmetic number, because the mean of its divisors is an integer number (177436455).

Almost surely, 22920096224 is an apocalyptic number.

2920096224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2920096224 is an abundant number, since it is smaller than the sum of its proper divisors (5596853616).

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

2920096224 is a wasteful number, since it uses less digits than its factorization.

2920096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379760 (or 3379746 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2920096224 is about 54037.9146895955. The cubic root of 2920096224 is about 1429.3295998532.

The spelling of 2920096224 in words is "two billion, nine hundred twenty million, ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3379741 6759482 10139223 13518964 20278446 27037928 30417669 40556892 54075856 60835338 81113784 91253007 108151712 121670676 162227568 182506014 243341352 324455136 365012028 486682704 730024056 973365408 1460048112 2920096224