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7825222980 = 2232543473461
BaseRepresentation
bin1110100100110101…
…10110110101000100
3202012100112111220100
413102122312311010
5112011224113410
63332253404100
7364626204111
oct72232666504
922170474810
107825222980
113356152933
121624799630
1397927a673
145433ad908
1530bec48c0
hex1d26b6d44

7825222980 has 36 divisors (see below), whose sum is σ = 23736510252. Its totient is φ = 2086726080.

The previous prime is 7825222973. The next prime is 7825222987. The reversal of 7825222980 is 892225287.

It is an interprime number because it is at equal distance from previous prime (7825222973) and next prime (7825222987).

It can be written as a sum of positive squares in 2 ways, for example, as 1789797636 + 6035425344 = 42306^2 + 77688^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×78252229802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7825222987) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21736551 + ... + 21736910.

It is an arithmetic number, because the mean of its divisors is an integer number (659347507).

Almost surely, 27825222980 is an apocalyptic number.

It is an amenable number.

7825222980 is an abundant number, since it is smaller than the sum of its proper divisors (15911287272).

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

7825222980 is a wasteful number, since it uses less digits than its factorization.

7825222980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43473476 (or 43473471 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7825222980 is about 88460.2904132696. The cubic root of 7825222980 is about 1985.3278759281.

The spelling of 7825222980 in words is "seven billion, eight hundred twenty-five million, two hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 43473461 86946922 130420383 173893844 217367305 260840766 391261149 434734610 521681532 652101915 782522298 869469220 1304203830 1565044596 1956305745 2608407660 3912611490 7825222980