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7225561260 = 2235559113223
BaseRepresentation
bin1101011101010110…
…10101000010101100
3200122120011112200000
412232223111002230
5104244220430020
63152552504300
7344025154161
oct65653250254
920576145600
107225561260
113078706135
1214979ab090
138b1c6ca48
144c78b4068
152c4522090
hex1aead50ac

7225561260 has 288 divisors, whose sum is σ = 23423662080. Its totient is φ = 1868977152.

The previous prime is 7225561253. The next prime is 7225561267. The reversal of 7225561260 is 621655227.

7225561260 is a `hidden beast` number, since 72 + 2 + 5 + 561 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7225561253) and next prime (7225561267).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7225561267) 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 95 ways as a sum of consecutive naturals, for example, 32401509 + ... + 32401731.

It is an arithmetic number, because the mean of its divisors is an integer number (81332160).

Almost surely, 27225561260 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 7225561260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711831040).

7225561260 is an abundant number, since it is smaller than the sum of its proper divisors (16198100820).

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

7225561260 is a wasteful number, since it uses less digits than its factorization.

7225561260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7225561260 is about 85003.3014652960. The cubic root of 7225561260 is about 1933.2611745429.

The spelling of 7225561260 in words is "seven billion, two hundred twenty-five million, five hundred sixty-one thousand, two hundred sixty".