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2199899952 = 2433192343271
BaseRepresentation
bin1000001100011111…
…1100111100110000
312200022111111102000
42003013330330300
514001133244302
61002143254000
7105341561325
oct20307747460
95608444360
102199899952
11a29871438
125148aa300
132909c7c63
1416c252b4c
15cd1ec31c
hex831fcf30

2199899952 has 320 divisors, whose sum is σ = 7123353600. Its totient is φ = 646652160.

The previous prime is 2199899939. The next prime is 2199899981. The reversal of 2199899952 is 2599989912.

2199899952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2199899952.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8117577 + ... + 8117847.

It is an arithmetic number, because the mean of its divisors is an integer number (22260480).

Almost surely, 22199899952 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 2199899952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561676800).

2199899952 is an abundant number, since it is smaller than the sum of its proper divisors (4923453648).

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

2199899952 is a wasteful number, since it uses less digits than its factorization.

2199899952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 63.

The square root of 2199899952 is about 46903.0910708452. The cubic root of 2199899952 is about 1300.5717311627.

The spelling of 2199899952 in words is "two billion, one hundred ninety-nine million, eight hundred ninety-nine thousand, nine hundred fifty-two".