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72226548 = 22323176329
BaseRepresentation
bin1000100111000…
…01011011110100
312000220111012100
410103201123310
5121442222143
611100022100
71534626012
oct423413364
9160814170
1072226548
1137851969
1220231930
1311c6b104
1498418b2
15651a6d3
hex44e16f4

72226548 has 36 divisors (see below), whose sum is σ = 183177540. Its totient is φ = 23995776.

The previous prime is 72226547. The next prime is 72226571. The reversal of 72226548 is 84562227.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 45724644 = 5148^2 + 6762^2 .

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

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72226547) by changing a digit.

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, 8248 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (5088265).

Almost surely, 272226548 is an apocalyptic number.

It is an amenable number.

72226548 is an abundant number, since it is smaller than the sum of its proper divisors (110950992).

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

72226548 is a wasteful number, since it uses less digits than its factorization.

72226548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6651 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 72226548 is about 8498.6203586229. The cubic root of 72226548 is about 416.4526400188.

The spelling of 72226548 in words is "seventy-two million, two hundred twenty-six thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 6329 11412 12658 18987 25316 37974 56961 75948 113922 227844 2006293 4012586 6018879 8025172 12037758 18056637 24075516 36113274 72226548