Search a number
-
+
3322897564 = 22743111161
BaseRepresentation
bin1100011000001111…
…0110010010011100
322120120121200112011
43012003312102130
523301130210224
61305421121004
7145226110000
oct30603662234
98516550464
103322897564
111455764138
127889b9164
1340c56b59c
1423745a700
15146ac7394
hexc60f649c

3322897564 has 60 divisors (see below), whose sum is σ = 7003306688. Its totient is φ = 1378036800.

The previous prime is 3322897559. The next prime is 3322897573. The reversal of 3322897564 is 4657982233.

It is a super-2 number, since 2×33228975642 = 22083296441674268192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292144 + ... + 303304.

Almost surely, 23322897564 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 3322897564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501653344).

3322897564 is an abundant number, since it is smaller than the sum of its proper divisors (3680409124).

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

3322897564 is a wasteful number, since it uses less digits than its factorization.

3322897564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11201 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The square root of 3322897564 is about 57644.5796584553. The cubic root of 3322897564 is about 1492.2410556473.

The spelling of 3322897564 in words is "three billion, three hundred twenty-two million, eight hundred ninety-seven thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 1372 1519 2401 3038 4802 6076 9604 10633 11161 21266 22322 42532 44644 74431 78127 148862 156254 297724 312508 345991 546889 691982 1093778 1383964 2187556 2421937 3828223 4843874 7656446 9687748 15312892 16953559 26797561 33907118 53595122 67814236 107190244 118674913 237349826 474699652 830724391 1661448782 3322897564