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2223000096 = 253229101119
BaseRepresentation
bin1000010010000000…
…0100101000100000
312201220222002211220
42010200010220200
514023042000341
61004330335040
7106042121562
oct20440045040
95656862756
102223000096
11a40909969
1252058a480
13295725495
14171347332
15d0261a66
hex84804a20

2223000096 has 48 divisors (see below), whose sum is σ = 5860915200. Its totient is φ = 737756928.

The previous prime is 2223000077. The next prime is 2223000097. The reversal of 2223000096 is 6900003222.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (2223000097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28576 + ... + 72543.

It is an arithmetic number, because the mean of its divisors is an integer number (122102400).

Almost surely, 22223000096 is an apocalyptic number.

It is an amenable number.

2223000096 is an abundant number, since it is smaller than the sum of its proper divisors (3637915104).

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

2223000096 is a wasteful number, since it uses less digits than its factorization.

2223000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101361 (or 101353 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2223000096 is about 47148.7019545607. The cubic root of 2223000096 is about 1305.1081262709.

The spelling of 2223000096 in words is "two billion, two hundred twenty-three million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 101119 202238 303357 404476 606714 808952 1213428 1617904 2426856 3235808 4853712 9707424 23156251 46312502 69468753 92625004 138937506 185250008 277875012 370500016 555750024 741000032 1111500048 2223000096