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2202103904 = 257311132361
BaseRepresentation
bin1000001101000001…
…0111000001100000
312200110122110122212
42003100113001200
514002214311104
61002302421252
7105366401000
oct20320270140
95613573585
102202103904
11a30037290
12515591828
132912ba180
1416c668000
15cd4d536e
hex83417060

2202103904 has 384 divisors, whose sum is σ = 6299596800. Its totient is φ = 745113600.

The previous prime is 2202103903. The next prime is 2202103919. The reversal of 2202103904 is 4093012022.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2202103904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202103901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36100034 + ... + 36100094.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 22202103904 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 2202103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2202103904 is an abundant number, since it is smaller than the sum of its proper divisors (4097492896).

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

2202103904 is a wasteful number, since it uses less digits than its factorization.

2202103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2202103904 is about 46926.5799307812. The cubic root of 2202103904 is about 1301.0059086309.

Adding to 2202103904 its reverse (4093012022), we get a palindrome (6295115926).

The spelling of 2202103904 in words is "two billion, two hundred two million, one hundred three thousand, nine hundred four".