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228121737120 = 25325158417873
BaseRepresentation
bin1101010001110100011…
…1010111011110100000
3210210211012021221120200
43110131013113132200
512214143131041440
6252444144305200
722324032525534
oct3243507273640
9723735257520
10228121737120
1188822856562
1238265612200
1318686521704
14b080cbdbc4
155e02235c30
hex351d1d77a0

228121737120 has 72 divisors (see below), whose sum is σ = 778465432836. Its totient is φ = 60832462848.

The previous prime is 228121737101. The next prime is 228121737157. The reversal of 228121737120 is 21737121822.

It is a happy number.

228121737120 is a `hidden beast` number, since 2 + 281 + 2 + 1 + 7 + 371 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205089425424 + 23032311696 = 452868^2 + 151764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 79207497 + ... + 79210376.

Almost surely, 2228121737120 is an apocalyptic number.

228121737120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228121737120 is an abundant number, since it is smaller than the sum of its proper divisors (550343695716).

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

228121737120 is a wasteful number, since it uses less digits than its factorization.

228121737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158417894 (or 158417883 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 228121737120 its reverse (21737121822), we get a palindrome (249858858942).

The spelling of 228121737120 in words is "two hundred twenty-eight billion, one hundred twenty-one million, seven hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 158417873 316835746 475253619 633671492 792089365 950507238 1267342984 1425760857 1584178730 1901014476 2376268095 2534685968 2851521714 3168357460 3802028952 4752536190 5069371936 5703043428 6336714920 7128804285 7604057904 9505072380 11406086856 12673429840 14257608570 15208115808 19010144760 22812173712 25346859680 28515217140 38020289520 45624347424 57030434280 76040579040 114060868560 228121737120