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2245553304 = 233198955331
BaseRepresentation
bin1000010111011000…
…0110110010011000
312210111101221000220
42011312012302120
514044330201204
61010454000040
7106434613431
oct20566066230
95714357026
102245553304
11a52613485
12528046020
1329a2c0a87
14174338488
15d22191d9
hex85d86c98

2245553304 has 64 divisors (see below), whose sum is σ = 5975856000. Its totient is φ = 701141760.

The previous prime is 2245553279. The next prime is 2245553311. The reversal of 2245553304 is 4033555422.

It is a happy number.

It is a super-2 number, since 2×22455533042 = 10085019282210632832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12919 + ... + 68249.

It is an arithmetic number, because the mean of its divisors is an integer number (93372750).

Almost surely, 22245553304 is an apocalyptic number.

2245553304 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 2245553304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987928000).

2245553304 is an abundant number, since it is smaller than the sum of its proper divisors (3730302696).

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

2245553304 is a wasteful number, since it uses less digits than its factorization.

2245553304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55448 (or 55444 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 2245553304 is about 47387.2694296686. The cubic root of 2245553304 is about 1309.5068951948.

The spelling of 2245553304 in words is "two billion, two hundred forty-five million, five hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 712 1068 1691 2136 3382 5073 6764 10146 13528 20292 40584 55331 110662 165993 221324 331986 442648 663972 1051289 1327944 2102578 3153867 4205156 4924459 6307734 8410312 9848918 12615468 14773377 19697836 25230936 29546754 39395672 59093508 93564721 118187016 187129442 280694163 374258884 561388326 748517768 1122776652 2245553304