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242206140 = 2235111721587
BaseRepresentation
bin11100110111111…
…00010110111100
3121212202100100210
432123330112330
5444001044030
640011152420
76000501231
oct1633742674
9555670323
10242206140
111147a0070
1269145710
133b244057
142424b788
15163e4bb0
hexe6fc5bc

242206140 has 96 divisors (see below), whose sum is σ = 783385344. Its totient is φ = 55260160.

The previous prime is 242206109. The next prime is 242206177. The reversal of 242206140 is 41602242.

242206140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (8160264).

Almost surely, 2242206140 is an apocalyptic number.

242206140 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 242206140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391692672).

242206140 is an abundant number, since it is smaller than the sum of its proper divisors (541179204).

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

242206140 is a wasteful number, since it uses less digits than its factorization.

242206140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21627 (or 21625 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242206140 is about 15562.9733662948. The cubic root of 242206140 is about 623.3448601552.

Adding to 242206140 its reverse (41602242), we get a palindrome (283808382).

The spelling of 242206140 in words is "two hundred forty-two million, two hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 21587 43174 64761 86348 107935 129522 215870 237457 259044 323805 366979 431740 474914 647610 712371 733958 949828 1100937 1187285 1295220 1424742 1467916 1834895 2201874 2374570 2849484 3561855 3669790 4036769 4403748 4749140 5504685 7123710 7339580 8073538 11009370 12110307 14247420 16147076 20183845 22018740 24220614 40367690 48441228 60551535 80735380 121103070 242206140