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242552220 = 2235127139229
BaseRepresentation
bin11100111010100…
…00110110011100
3121220101221002120
432131100312130
5444043132340
640022422540
76003442221
oct1635206634
9556357076
10242552220
11114a07089
1269291a50
133b335731
14242db948
15164624d0
hexe750d9c

242552220 has 96 divisors (see below), whose sum is σ = 692428800. Its totient is φ = 63431424.

The previous prime is 242552213. The next prime is 242552239. The reversal of 242552220 is 22255242.

It is a happy number.

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, 1059066 + ... + 1059294.

It is an arithmetic number, because the mean of its divisors is an integer number (7212800).

Almost surely, 2242552220 is an apocalyptic number.

242552220 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 242552220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346214400).

242552220 is an abundant number, since it is smaller than the sum of its proper divisors (449876580).

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

242552220 is a wasteful number, since it uses less digits than its factorization.

242552220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 242552220 is about 15574.0880952947. The cubic root of 242552220 is about 623.6416108518.

It can be divided in two parts, 2425 and 52220, that added together give a palindrome (54645).

The spelling of 242552220 in words is "two hundred forty-two million, five hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 139 229 254 278 381 417 458 508 556 635 687 695 762 834 916 1145 1270 1374 1390 1524 1668 1905 2085 2290 2540 2748 2780 3435 3810 4170 4580 6870 7620 8340 13740 17653 29083 31831 35306 52959 58166 63662 70612 87249 88265 95493 105918 116332 127324 145415 159155 174498 176530 190986 211836 264795 290830 318310 348996 353060 381972 436245 477465 529590 581660 636620 872490 954930 1059180 1744980 1909860 4042537 8085074 12127611 16170148 20212685 24255222 40425370 48510444 60638055 80850740 121276110 242552220