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242341132200 = 23352668960383
BaseRepresentation
bin1110000110110010101…
…0000011011110101000
3212011112011121001121220
43201230222003132220
512432303312212300
6303155135302040
723336303431056
oct3415452033650
9764464531556
10242341132200
119385a284542
123ab7367a920
1319b1141885b
14ba2d5871d6
156485754da0
hex386ca837a8

242341132200 has 96 divisors (see below), whose sum is σ = 751382265600. Its totient is φ = 64613570560.

The previous prime is 242341132199. The next prime is 242341132207. The reversal of 242341132200 is 2231143242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242341132207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3983209 + ... + 4043591.

It is an arithmetic number, because the mean of its divisors is an integer number (7826898600).

Almost surely, 2242341132200 is an apocalyptic number.

242341132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242341132200 is an abundant number, since it is smaller than the sum of its proper divisors (509041133400).

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

242341132200 is a wasteful number, since it uses less digits than its factorization.

242341132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67091 (or 67082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242341132200 its reverse (2231143242), we get a palindrome (244572275442).

The spelling of 242341132200 in words is "two hundred forty-two billion, three hundred forty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6689 13378 20067 26756 33445 40134 53512 60383 66890 80268 100335 120766 133780 160536 167225 181149 200670 241532 267560 301915 334450 362298 401340 483064 501675 603830 668900 724596 802680 905745 1003350 1207660 1337800 1449192 1509575 1811490 2006700 2415320 3019150 3622980 4013400 4528725 6038300 7245960 9057450 12076600 18114900 36229800 403901887 807803774 1211705661 1615607548 2019509435 2423411322 3231215096 4039018870 4846822644 6058528305 8078037740 9693645288 10097547175 12117056610 16156075480 20195094350 24234113220 30292641525 40390188700 48468226440 60585283050 80780377400 121170566100 242341132200