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253226054100 = 223522929106443
BaseRepresentation
bin1110101111010101110…
…0101111000111010100
3220012121202111101101110
43223311130233013110
513122101332212400
6312155213055020
724203114642205
oct3536534570724
9805552441343
10253226054100
1198435562468
12410b0a87470
131ab57550646
14c38305d5ac
1568c1161e50
hex3af572f1d4

253226054100 has 72 divisors (see below), whose sum is σ = 757931801760. Its totient is φ = 65198430080.

The previous prime is 253226054099. The next prime is 253226054111. The reversal of 253226054100 is 1450622352.

It is a super-2 number, since 2×2532260541002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14544522 + ... + 14561921.

It is an arithmetic number, because the mean of its divisors is an integer number (10526830580).

Almost surely, 2253226054100 is an apocalyptic number.

253226054100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253226054100 is an abundant number, since it is smaller than the sum of its proper divisors (504705747660).

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

253226054100 is a wasteful number, since it uses less digits than its factorization.

253226054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106489 (or 29106482 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 253226054100 its reverse (1450622352), we get a palindrome (254676676452).

The spelling of 253226054100 in words is "two hundred fifty-three billion, two hundred twenty-six million, fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 29106443 58212886 87319329 116425772 145532215 174638658 291064430 349277316 436596645 582128860 727661075 844086847 873193290 1455322150 1688173694 1746386580 2182983225 2532260541 2910644300 3376347388 4220434235 4365966450 5064521082 8440868470 8731932900 10129042164 12661302705 16881736940 21102171175 25322605410 42204342350 50645210820 63306513525 84408684700 126613027050 253226054100