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2255651300 = 225272460337
BaseRepresentation
bin1000011001110010…
…1000000111100100
312211012101221212202
42012130220013210
514104421320200
61011454234032
7106616501600
oct20634500744
95735357782
102255651300
11a58290231
1252b4b5918
1329c418116
14175806500
15d30611d5
hex867281e4

2255651300 has 54 divisors (see below), whose sum is σ = 5693920722. Its totient is φ = 773364480.

The previous prime is 2255651287. The next prime is 2255651303. The reversal of 2255651300 is 31565522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4528384 + 2251122916 = 2128^2 + 47446^2 .

It is not an unprimeable number, because it can be changed into a prime (2255651303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 225269 + ... + 235068.

Almost surely, 22255651300 is an apocalyptic number.

2255651300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255651300 is an abundant number, since it is smaller than the sum of its proper divisors (3438269422).

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

2255651300 is a wasteful number, since it uses less digits than its factorization.

2255651300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460365 (or 460351 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 2255651300 is about 47493.6974766126. The cubic root of 2255651300 is about 1311.4668610485.

The spelling of 2255651300 in words is "two billion, two hundred fifty-five million, six hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 460337 920674 1841348 2301685 3222359 4603370 6444718 9206740 11508425 12889436 16111795 22556513 23016850 32223590 45113026 46033700 64447180 80558975 90226052 112782565 161117950 225565130 322235900 451130260 563912825 1127825650 2255651300