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2255929600 = 2852352489
BaseRepresentation
bin1000011001110110…
…1100000100000000
312211012221002122011
42012131230010000
514110004221400
61011504222304
7106622041141
oct20635540400
95735832564
102255929600
11a58460331
1252b60a994
1329c4b49b2
14175879ac8
15d30b88ba
hex8676c100

2255929600 has 54 divisors (see below), whose sum is σ = 5583794090. Its totient is φ = 902369280.

The previous prime is 2255929591. The next prime is 2255929601. The reversal of 2255929600 is 69295522.

It can be written as a sum of positive squares in 3 ways, for example, as 652087296 + 1603842304 = 25536^2 + 40048^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2255929601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169845 + ... + 182644.

Almost surely, 22255929600 is an apocalyptic number.

2255929600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255929600 is an abundant number, since it is smaller than the sum of its proper divisors (3327864490).

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

2255929600 is an equidigital number, since it uses as much as digits as its factorization.

2255929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352515 (or 352496 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 2255929600 is about 47496.6272486795. The cubic root of 2255929600 is about 1311.5207946534.

The spelling of 2255929600 in words is "two billion, two hundred fifty-five million, nine hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 352489 704978 1409956 1762445 2819912 3524890 5639824 7049780 8812225 11279648 14099560 17624450 22559296 28199120 35248900 45118592 56398240 70497800 90237184 112796480 140995600 225592960 281991200 451185920 563982400 1127964800 2255929600