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2199071952 = 2432711238623
BaseRepresentation
bin1000001100010011…
…0010110011010000
312200020221102121100
42003010302303100
514000430300302
61002113424400
7105331542330
oct20304626320
95606842540
102199071952
11a29356340
1251456b100
1329079810c
1416c0b90c0
15cd0d6d1c
hex83132cd0

2199071952 has 240 divisors, whose sum is σ = 8007487488. Its totient is φ = 546289920.

The previous prime is 2199071911. The next prime is 2199072019. The reversal of 2199071952 is 2591709912.

It is a junction number, because it is equal to n+sod(n) for n = 2199071898 and 2199071907.

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, 250713 + ... + 259335.

Almost surely, 22199071952 is an apocalyptic number.

2199071952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199071952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744).

2199071952 is an abundant number, since it is smaller than the sum of its proper divisors (5808415536).

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

2199071952 is a wasteful number, since it uses less digits than its factorization.

2199071952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 2199071952 is about 46894.2635297752. The cubic root of 2199071952 is about 1300.4085406313.

The spelling of 2199071952 in words is "two billion, one hundred ninety-nine million, seventy-one thousand, nine hundred fifty-two".