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2256700600 = 2352711146539
BaseRepresentation
bin1000011010000010…
…1000010010111000
312211021101021020201
42012200220102320
514110203404400
61011532531544
7106631432020
oct20640502270
95737337221
102256700600
11a58937620
1252b920bb4
1329c6c48cb
141759daa80
15d31bc06a
hex868284b8

2256700600 has 96 divisors (see below), whose sum is σ = 6541545600. Its totient is φ = 703382400.

The previous prime is 2256700597. The next prime is 2256700609. The reversal of 2256700600 is 60076522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256700609) 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 23 ways as a sum of consecutive naturals, for example, 57870 + ... + 88669.

It is an arithmetic number, because the mean of its divisors is an integer number (68141100).

Almost surely, 22256700600 is an apocalyptic number.

2256700600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256700600 is an abundant number, since it is smaller than the sum of its proper divisors (4284845000).

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

2256700600 is a wasteful number, since it uses less digits than its factorization.

2256700600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146573 (or 146564 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2256700600 is about 47504.7429211021. The cubic root of 2256700600 is about 1311.6701887005.

The spelling of 2256700600 in words is "two billion, two hundred fifty-six million, seven hundred thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 146539 293078 586156 732695 1025773 1172312 1465390 1611929 2051546 2930780 3223858 3663475 4103092 5128865 5861560 6447716 7326950 8059645 8206184 10257730 11283503 12895432 14653900 16119290 20515460 22567006 25644325 29307800 32238580 40298225 41030920 45134012 51288650 56417515 64477160 80596450 90268024 102577300 112835030 161192900 205154600 225670060 282087575 322385800 451340120 564175150 1128350300 2256700600