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985223016 = 2332103132851
BaseRepresentation
bin111010101110010…
…100111101101000
32112122212111220100
4322232110331220
54004204114031
6241432425400
733262154211
oct7256247550
92478774810
10985223016
114661506a8
12235b48260
131291651cb
1494bc2408
155b762de6
hex3ab94f68

985223016 has 48 divisors (see below), whose sum is σ = 2694238560. Its totient is φ = 325216800.

The previous prime is 985223011. The next prime is 985223021. The reversal of 985223016 is 610322589.

985223016 is a `hidden beast` number, since 98 + 522 + 30 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (985223011) and next prime (985223021).

It is a super-2 number, since 2×9852230162 = 1941328782512272512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (985223011) 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, 59010 + ... + 73841.

It is an arithmetic number, because the mean of its divisors is an integer number (56129970).

Almost surely, 2985223016 is an apocalyptic number.

It is an amenable number.

985223016 is an abundant number, since it is smaller than the sum of its proper divisors (1709015544).

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

985223016 is a wasteful number, since it uses less digits than its factorization.

985223016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132966 (or 132959 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 985223016 is about 31388.2623921746. The cubic root of 985223016 is about 995.0498753649.

The spelling of 985223016 in words is "nine hundred eighty-five million, two hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 132851 265702 398553 531404 797106 1062808 1195659 1594212 2391318 3188424 4782636 9565272 13683653 27367306 41050959 54734612 82101918 109469224 123152877 164203836 246305754 328407672 492611508 985223016