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239482996900 = 22527269912
BaseRepresentation
bin1101111100001001001…
…1001000100010100100
3211220010222111202001221
43133002103020202210
512410430121400100
6302003355430124
723205416613100
oct3370223104244
9756128452057
10239482996900
11926229aa154
123a4b6455344
1319777245334
14b83bb4c900
15636988501a
hex37c24c88a4

239482996900 has 81 divisors (see below), whose sum is σ = 604609991937. Its totient is φ = 82096711200.

The previous prime is 239482996877. The next prime is 239482996913. The reversal of 239482996900 is 9699284932.

The square root of 239482996900 is 489370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86213878884 + 153269118016 = 293622^2 + 391496^2 .

It is a super-2 number, since 2×2394829969002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34252405 + ... + 34259395.

Almost surely, 2239482996900 is an apocalyptic number.

239482996900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239482996900 is the 489370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239482996900

239482996900 is an abundant number, since it is smaller than the sum of its proper divisors (365126995037).

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

239482996900 is an frugal number, since it uses more digits than its factorization.

239482996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14010 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 61.

The spelling of 239482996900 in words is "two hundred thirty-nine billion, four hundred eighty-two million, nine hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 6991 13982 27964 34955 48937 69910 97874 139820 174775 195748 244685 342559 349550 489370 685118 699100 978740 1223425 1370236 1712795 2446850 3425590 4893700 6851180 8563975 17127950 34255900 48874081 97748162 195496324 244370405 342118567 488740810 684237134 977481620 1221852025 1368474268 1710592835 2394829969 2443704050 3421185670 4789659938 4887408100 6842371340 8552964175 9579319876 11974149845 17105928350 23948299690 34211856700 47896599380 59870749225 119741498450 239482996900