Search a number
-
+
2202796512 = 25337312379
BaseRepresentation
bin1000001101001100…
…0000000111100000
312200111221122202000
42003103000013200
514002403442022
61002325324000
7105405314160
oct20323000740
95614848660
102202796512
11a3046a694
12515866600
132914a04b7
1416c7a85a0
15cd5c06ac
hex834c01e0

2202796512 has 288 divisors, whose sum is σ = 7607174400. Its totient is φ = 607461120.

The previous prime is 2202796499. The next prime is 2202796577. The reversal of 2202796512 is 2156972022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22027965122 = 9704624946558732288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5811939 + ... + 5812317.

It is an arithmetic number, because the mean of its divisors is an integer number (26413800).

Almost surely, 22202796512 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 2202796512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803587200).

2202796512 is an abundant number, since it is smaller than the sum of its proper divisors (5404377888).

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

2202796512 is a wasteful number, since it uses less digits than its factorization.

2202796512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2202796512 is about 46933.9590488593. The cubic root of 2202796512 is about 1301.1422922419.

The spelling of 2202796512 in words is "two billion, two hundred two million, seven hundred ninety-six thousand, five hundred twelve".