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8225962380 = 22325172688223
BaseRepresentation
bin1111010100100111…
…00011100110001100
3210020021121012000100
413222103203212030
5113321321244010
63440130531100
7410563345416
oct75223434614
923207535010
108225962380
113541383319
121716a36a90
13a112ba67c
145806c79b6
153322822c0
hex1ea4e398c

8225962380 has 72 divisors (see below), whose sum is σ = 26419865472. Its totient is φ = 2064554496.

The previous prime is 8225962379. The next prime is 8225962387. The reversal of 8225962380 is 832695228.

It is a happy number.

8225962380 is a `hidden beast` number, since 8 + 22 + 596 + 2 + 38 + 0 = 666.

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 (8225962387) 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 23 ways as a sum of consecutive naturals, for example, 1341052 + ... + 1347171.

It is an arithmetic number, because the mean of its divisors is an integer number (366942576).

Almost surely, 28225962380 is an apocalyptic number.

It is an amenable number.

8225962380 is an abundant number, since it is smaller than the sum of its proper divisors (18193903092).

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

8225962380 is a wasteful number, since it uses less digits than its factorization.

8225962380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688255 (or 2688250 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8225962380 is about 90697.0913535820. The cubic root of 8225962380 is about 2018.6556408017.

The spelling of 8225962380 in words is "eight billion, two hundred twenty-five million, nine hundred sixty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 2688223 5376446 8064669 10752892 13441115 16129338 24194007 26882230 32258676 40323345 45699791 48388014 53764460 80646690 91399582 96776028 120970035 137099373 161293380 182799164 228498955 241940070 274198746 411298119 456997910 483880140 548397492 685496865 822596238 913995820 1370993730 1645192476 2056490595 2741987460 4112981190 8225962380