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2253011200 = 28521132003
BaseRepresentation
bin1000011001001010…
…0011100100000000
312211000102211100021
42012102203210000
514103232324300
61011321503224
7106555164526
oct20622434400
95730384307
102253011200
11a56847730
1252a641b14
1329ba0252b
1417531a316
15d2bddd1a
hex864a3900

2253011200 has 108 divisors (see below), whose sum is σ = 6083704368. Its totient is φ = 819251200.

The previous prime is 2253011197. The next prime is 2253011227. The reversal of 2253011200 is 21103522.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54399 + ... + 86401.

It is an arithmetic number, because the mean of its divisors is an integer number (56330596).

Almost surely, 22253011200 is an apocalyptic number.

2253011200 is a gapful number since it is divisible by the number (20) 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 2253011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041852184).

2253011200 is an abundant number, since it is smaller than the sum of its proper divisors (3830693168).

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

2253011200 is a wasteful number, since it uses less digits than its factorization.

2253011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32040 (or 32021 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2253011200 is about 47465.8951248157. The cubic root of 2253011200 is about 1310.9549977444.

Adding to 2253011200 its reverse (21103522), we get a palindrome (2274114722).

The spelling of 2253011200 in words is "two billion, two hundred fifty-three million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 32003 35200 64006 70400 128012 160015 256024 320030 352033 512048 640060 704066 800075 1024096 1280120 1408132 1600150 1760165 2048192 2560240 2816264 3200300 3520330 4096384 5120480 5632528 6400600 7040660 8192768 8800825 10240960 11265056 12801200 14081320 17601650 20481920 22530112 25602400 28162640 35203300 40963840 45060224 51204800 56325280 70406600 90120448 102409600 112650560 140813200 204819200 225301120 281626400 450602240 563252800 1126505600 2253011200