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2199364440 = 2335713317389
BaseRepresentation
bin1000001100010111…
…1010001101011000
312200021111021211020
42003011322031120
514001014130230
61002124002440
7105334201140
oct20305721530
95607437736
102199364440
11a29536069
12514690420
1329086b2a0
1416c153920
15cd143810
hex8317a358

2199364440 has 512 divisors, whose sum is σ = 8592998400. Its totient is φ = 437944320.

The previous prime is 2199364439. The next prime is 2199364451. The reversal of 2199364440 is 444639912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2199364392 and 2199364401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24711916 + ... + 24712004.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 22199364440 is an apocalyptic number.

2199364440 is a gapful number since it is divisible by the number (20) 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 2199364440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296499200).

2199364440 is an abundant number, since it is smaller than the sum of its proper divisors (6393633960).

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

2199364440 is a wasteful number, since it uses less digits than its factorization.

2199364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2199364440 is about 46897.3820164836. The cubic root of 2199364440 is about 1300.4661917738.

The spelling of 2199364440 in words is "two billion, one hundred ninety-nine million, three hundred sixty-four thousand, four hundred forty".