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2235290904 = 2335711109137
BaseRepresentation
bin1000010100111011…
…1101010100011000
312202210002112200000
42011032331110120
514034213302104
61005450013000
7106251442050
oct20516752430
95683075600
102235290904
11a47844160
12524717160
13298139952
14172c26560
15d138d639
hex853bd518

2235290904 has 384 divisors, whose sum is σ = 7956748800. Its totient is φ = 571069440.

The previous prime is 2235290881. The next prime is 2235290909. The reversal of 2235290904 is 4090925322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235290909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16315924 + ... + 16316060.

It is an arithmetic number, because the mean of its divisors is an integer number (20720700).

Almost surely, 22235290904 is an apocalyptic number.

2235290904 is a gapful number since it is divisible by the number (24) 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 2235290904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978374400).

2235290904 is an abundant number, since it is smaller than the sum of its proper divisors (5721457896).

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

2235290904 is a wasteful number, since it uses less digits than its factorization.

2235290904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2235290904 is about 47278.8631843026. The cubic root of 2235290904 is about 1307.5089900148.

The spelling of 2235290904 in words is "two billion, two hundred thirty-five million, two hundred ninety thousand, nine hundred four".