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242265653220 = 22354399197633
BaseRepresentation
bin1110000110100000101…
…0000111111111100100
3212011022220120022221010
43201220022013333210
512432130001400340
6303143441422220
723334366034533
oct3415012077744
9764286508833
10242265653220
1193820711018
123ab5233a970
1319acb8ac236
14ba2353a31a
15647dce5b80
hex3868287fe4

242265653220 has 48 divisors (see below), whose sum is σ = 679889105280. Its totient is φ = 64457005056.

The previous prime is 242265653197. The next prime is 242265653239. The reversal of 242265653220 is 22356562242.

It is a happy number.

242265653220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422656532202 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4572477 + ... + 4625156.

It is an arithmetic number, because the mean of its divisors is an integer number (14164356360).

Almost surely, 2242265653220 is an apocalyptic number.

242265653220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242265653220 is an abundant number, since it is smaller than the sum of its proper divisors (437623452060).

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

242265653220 is a wasteful number, since it uses less digits than its factorization.

242265653220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198084 (or 9198082 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 242265653220 in words is "two hundred forty-two billion, two hundred sixty-five million, six hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 439 878 1317 1756 2195 2634 4390 5268 6585 8780 13170 26340 9197633 18395266 27592899 36790532 45988165 55185798 91976330 110371596 137964495 183952660 275928990 551857980 4037760887 8075521774 12113282661 16151043548 20188804435 24226565322 40377608870 48453130644 60566413305 80755217740 121132826610 242265653220