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2256552320 = 27511320533
BaseRepresentation
bin1000011010000000…
…0100000110000000
312211021002201211212
42012200010012000
514110134133240
61011525425252
7106630243511
oct20640040600
95737081755
102256552320
11a58846180
1252b86b228
1329c672279
1417599ca08
15d318d165
hex86804180

2256552320 has 64 divisors (see below), whose sum is σ = 5885004240. Its totient is φ = 820561920.

The previous prime is 2256552313. The next prime is 2256552329. The reversal of 2256552320 is 232556522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256552329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153227 + ... + 167306.

Almost surely, 22256552320 is an apocalyptic number.

2256552320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256552320 is an abundant number, since it is smaller than the sum of its proper divisors (3628451920).

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

2256552320 is a wasteful number, since it uses less digits than its factorization.

2256552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320563 (or 320551 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 2256552320 is about 47503.1822091952. The cubic root of 2256552320 is about 1311.6414596324.

The spelling of 2256552320 in words is "two billion, two hundred fifty-six million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 320533 641066 1282132 1602665 2564264 3205330 3525863 5128528 6410660 7051726 10257056 12821320 14103452 17629315 20514112 25642640 28206904 35258630 41028224 51285280 56413808 70517260 102570560 112827616 141034520 205141120 225655232 282069040 451310464 564138080 1128276160 2256552320