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242521222300 = 225272137361271
BaseRepresentation
bin1110000111011101100…
…1000010110010011100
3212011222201110120210121
43201313121002302130
512433140413103200
6303225051244324
723343621243100
oct3416731026234
9764881416717
10242521222300
11939419a8935
123b003a496a4
1319b3c821746
14ba49465900
156496479e1a
hex3877642c9c

242521222300 has 108 divisors (see below), whose sum is σ = 616663124784. Its totient is φ = 82542969600.

The previous prime is 242521222297. The next prime is 242521222343. The reversal of 242521222300 is 3222125242.

242521222300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490665 + ... + 851935.

It is an arithmetic number, because the mean of its divisors is an integer number (5709843748).

Almost surely, 2242521222300 is an apocalyptic number.

242521222300 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 242521222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308331562392).

242521222300 is an abundant number, since it is smaller than the sum of its proper divisors (374141902484).

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

242521222300 is a wasteful number, since it uses less digits than its factorization.

242521222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361436 (or 361422 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242521222300 its reverse (3222125242), we get a palindrome (245743347542).

The spelling of 242521222300 in words is "two hundred forty-two billion, five hundred twenty-one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 137 140 175 196 245 274 350 490 548 685 700 959 980 1225 1370 1918 2450 2740 3425 3836 4795 4900 6713 6850 9590 13426 13700 19180 23975 26852 33565 47950 67130 95900 134260 167825 335650 361271 671300 722542 1445084 1806355 2528897 3612710 5057794 7225420 9031775 10115588 12644485 17702279 18063550 25288970 35404558 36127100 49494127 50577940 63222425 70809116 88511395 98988254 126444850 177022790 197976508 247470635 252889700 346458889 354045580 442556975 494941270 692917778 885113950 989882540 1237353175 1385835556 1732294445 1770227900 2425212223 2474706350 3464588890 4850424446 4949412700 6929177780 8661472225 9700848892 12126061115 17322944450 24252122230 34645888900 48504244460 60630305575 121260611150 242521222300