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238902386900 = 225223353294251
BaseRepresentation
bin1101111001111110110…
…0010010000011010100
3211211122111222200212212
43132133230102003110
512403233002340100
6301430015132552
723155136532422
oct3363754220324
9754574880785
10238902386900
1192355195281
123a373b14158
13196b3b78318
14b7c49b2112
1563338e7635
hex379fb120d4

238902386900 has 72 divisors (see below), whose sum is σ = 542492403264. Its totient is φ = 91146880000.

The previous prime is 238902386873. The next prime is 238902386917. The reversal of 238902386900 is 9683209832.

It is a super-2 number, since 2×2389023869002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664775 + ... + 959025.

It is an arithmetic number, because the mean of its divisors is an integer number (7534616712).

Almost surely, 2238902386900 is an apocalyptic number.

238902386900 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 238902386900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271246201632).

238902386900 is an abundant number, since it is smaller than the sum of its proper divisors (303590016364).

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

238902386900 is a wasteful number, since it uses less digits than its factorization.

238902386900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294641 (or 294634 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 238902386900 in words is "two hundred thirty-eight billion, nine hundred two million, three hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 353 460 575 706 1150 1412 1765 2300 3530 7060 8119 8825 16238 17650 32476 35300 40595 81190 162380 202975 294251 405950 588502 811900 1177004 1471255 2942510 5885020 6767773 7356275 13535546 14712550 27071092 29425100 33838865 67677730 103870603 135355460 169194325 207741206 338388650 415482412 519353015 676777300 1038706030 2077412060 2389023869 2596765075 4778047738 5193530150 9556095476 10387060300 11945119345 23890238690 47780477380 59725596725 119451193450 238902386900