Search a number
-
+
3219482016 = 253211178757
BaseRepresentation
bin1011111111100101…
…0110010110100000
322022101000122001200
42333321112112200
523043141411031
61251244401200
7142532100642
oct27771262640
98271018050
103219482016
11140234a543
1275a246200
133c400025a
1422781a892
1513c99a8e6
hexbfe565a0

3219482016 has 36 divisors (see below), whose sum is σ = 9155402802. Its totient is φ = 1073160576.

The previous prime is 3219482011. The next prime is 3219482033. The reversal of 3219482016 is 6102849123.

It can be written as a sum of positive squares in only one way, i.e., 2829814416 + 389667600 = 53196^2 + 19740^2 .

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

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 (3219482011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5589091 + ... + 5589666.

Almost surely, 23219482016 is an apocalyptic number.

3219482016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3219482016 is an abundant number, since it is smaller than the sum of its proper divisors (5935920786).

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

3219482016 is a wasteful number, since it uses less digits than its factorization.

3219482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178773 (or 11178762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3219482016 is about 56740.4795185941. The cubic root of 3219482016 is about 1476.5970660436.

The spelling of 3219482016 in words is "three billion, two hundred nineteen million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11178757 22357514 33536271 44715028 67072542 89430056 100608813 134145084 178860112 201217626 268290168 357720224 402435252 536580336 804870504 1073160672 1609741008 3219482016