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2204604864 = 26357211263
BaseRepresentation
bin1000001101100111…
…1001100111000000
312200122100112100000
42003121321213000
514003334323424
61002432200000
7105426555300
oct20331714700
95618315300
102204604864
11a314952a0
12516399000
13291984627
1416cb19600
15cd82b3c9
hex836799c0

2204604864 has 504 divisors, whose sum is σ = 8347667328. Its totient is φ = 570447360.

The previous prime is 2204604851. The next prime is 2204604869. The reversal of 2204604864 is 4684064022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 (2204604869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8382397 + ... + 8382659.

It is an arithmetic number, because the mean of its divisors is an integer number (16562832).

Almost surely, 22204604864 is an apocalyptic number.

2204604864 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 2204604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173833664).

2204604864 is an abundant number, since it is smaller than the sum of its proper divisors (6143062464).

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

2204604864 is a wasteful number, since it uses less digits than its factorization.

2204604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2204604864 is about 46953.2199534814. The cubic root of 2204604864 is about 1301.4982457888.

Adding to 2204604864 its reverse (4684064022), we get a palindrome (6888668886).

The spelling of 2204604864 in words is "two billion, two hundred four million, six hundred four thousand, eight hundred sixty-four".