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2204376032 = 25611378243
BaseRepresentation
bin1000001101100100…
…0001101111100000
312200121220220102202
42003121001233200
514003310013112
61002423232332
7105424613165
oct20331015740
95617826382
102204376032
11a31349381
125162a86a8
13291904421
1416ca9a06c
15cd7d36c2
hex83641be0

2204376032 has 48 divisors (see below), whose sum is σ = 4443746832. Its totient is φ = 1076075520.

The previous prime is 2204376019. The next prime is 2204376061. The reversal of 2204376032 is 2306734022.

It is a junction number, because it is equal to n+sod(n) for n = 2204375986 and 2204376004.

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 7 ways as a sum of consecutive naturals, for example, 263303 + ... + 271545.

It is an arithmetic number, because the mean of its divisors is an integer number (92578059).

Almost surely, 22204376032 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 2204376032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221873416).

2204376032 is an abundant number, since it is smaller than the sum of its proper divisors (2239370800).

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

2204376032 is a wasteful number, since it uses less digits than its factorization.

2204376032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 2204376032 is about 46950.7830818614. The cubic root of 2204376032 is about 1301.4532135691.

The spelling of 2204376032 in words is "two billion, two hundred four million, three hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 137 244 274 488 548 976 1096 1952 2192 4384 8243 8357 16486 16714 32972 33428 65944 66856 131888 133712 263776 267424 502823 1005646 1129291 2011292 2258582 4022584 4517164 8045168 9034328 16090336 18068656 36137312 68886751 137773502 275547004 551094008 1102188016 2204376032