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2204381088 = 253371323253
BaseRepresentation
bin1000001101100100…
…0010111110100000
312200121221011101000
42003121002332200
514003310143323
61002423312000
7105424634010
oct20331027640
95617834330
102204381088
11a31352158
125162ab600
13291906810
1416ca9bc40
15cd7d4e43
hex83642fa0

2204381088 has 576 divisors, whose sum is σ = 8428250880. Its totient is φ = 545605632.

The previous prime is 2204381071. The next prime is 2204381093. The reversal of 2204381088 is 8801834022.

It is a happy number.

It is a super-2 number, since 2×22043810882 = 9718591962264127488, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41592070 + ... + 41592122.

It is an arithmetic number, because the mean of its divisors is an integer number (14632380).

Almost surely, 22204381088 is an apocalyptic number.

2204381088 is a gapful number since it is divisible by the number (28) 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 2204381088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214125440).

2204381088 is an abundant number, since it is smaller than the sum of its proper divisors (6223869792).

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

2204381088 is a wasteful number, since it uses less digits than its factorization.

2204381088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2204381088 is about 46950.8369254479. The cubic root of 2204381088 is about 1301.4542085812.

The spelling of 2204381088 in words is "two billion, two hundred four million, three hundred eighty-one thousand, eighty-eight".