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242025305620 = 225719281323797
BaseRepresentation
bin1110000101100111010…
…1010001011000010100
3212010201011022102000011
43201121311101120110
512431131434234440
6303103534130004
723325420103630
oct3413165213024
9763634272004
10242025305620
1193707a8033a
123aaa5950904
1319a90b69117
14b9dd653dc0
156467b6b9ea
hex3859d51614

242025305620 has 96 divisors (see below), whose sum is σ = 613610161920. Its totient is φ = 78332728320.

The previous prime is 242025305617. The next prime is 242025305629. The reversal of 242025305620 is 26503520242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242025305629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585562 + ... + 909358.

It is an arithmetic number, because the mean of its divisors is an integer number (6391772520).

Almost surely, 2242025305620 is an apocalyptic number.

242025305620 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 242025305620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306805080960).

242025305620 is an abundant number, since it is smaller than the sum of its proper divisors (371584856300).

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

242025305620 is a wasteful number, since it uses less digits than its factorization.

242025305620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324113 (or 324111 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 242025305620 its reverse (26503520242), we get a palindrome (268528825862).

The spelling of 242025305620 in words is "two hundred forty-two billion, twenty-five million, three hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 281 380 532 562 665 1124 1330 1405 1967 2660 2810 3934 5339 5620 7868 9835 10678 19670 21356 26695 37373 39340 53390 74746 106780 149492 186865 323797 373730 647594 747460 1295188 1618985 2266579 3237970 4533158 6152143 6475940 9066316 11332895 12304286 22665790 24608572 30760715 43065001 45331580 61521430 86130002 90986957 123042860 172260004 181973914 215325005 363947828 430650010 454934785 636908699 861300020 909869570 1273817398 1728752183 1819739140 2547634796 3184543495 3457504366 6369086990 6915008732 8643760915 12101265281 12738173980 17287521830 24202530562 34575043660 48405061124 60506326405 121012652810 242025305620