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2272976928 = 253213956779
BaseRepresentation
bin1000011101111010…
…1110000000100000
312212102000012011200
42013132232000200
514123340230203
61013313441200
7110216661615
oct20736560040
95772005150
102272976928
11a67044232
12535270200
132a2ba3181
14177c3650c
15d48349a3
hex877ae020

2272976928 has 72 divisors (see below), whose sum is σ = 6510394800. Its totient is φ = 752194944.

The previous prime is 2272976899. The next prime is 2272976957. The reversal of 2272976928 is 8296792722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2272976899) and next prime (2272976957).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 11643 + ... + 68421.

It is an arithmetic number, because the mean of its divisors is an integer number (90422150).

Almost surely, 22272976928 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 2272976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255197400).

2272976928 is an abundant number, since it is smaller than the sum of its proper divisors (4237417872).

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

2272976928 is a wasteful number, since it uses less digits than its factorization.

2272976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56934 (or 56923 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2272976928 is about 47675.7477969670. The cubic root of 2272976928 is about 1314.8160870854.

The spelling of 2272976928 in words is "two billion, two hundred seventy-two million, nine hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 56779 113558 170337 227116 340674 454232 511011 681348 908464 1022022 1362696 1816928 2044044 2725392 4088088 5450784 7892281 8176176 15784562 16352352 23676843 31569124 47353686 63138248 71030529 94707372 126276496 142061058 189414744 252552992 284122116 378829488 568244232 757658976 1136488464 2272976928