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242770770 = 23451122477
BaseRepresentation
bin11100111100001…
…10001101010010
3121220211000220000
432132012031102
5444122131040
640031230430
76005342334
oct1636061522
9556730800
10242770770
11115046300
1269378416
133b3b1058
1424357454
15164a7130
hexe786352

242770770 has 120 divisors (see below), whose sum is σ = 717812172. Its totient is φ = 58829760.

The previous prime is 242770753. The next prime is 242770777. The reversal of 242770770 is 77077242.

242770770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 241584849 + 1185921 = 15543^2 + 1089^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242770777) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 96772 + ... + 99248.

Almost surely, 2242770770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242770770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358906086).

242770770 is an abundant number, since it is smaller than the sum of its proper divisors (475041402).

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

242770770 is a wasteful number, since it uses less digits than its factorization.

242770770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 242770770 is about 15581.1029776457. The cubic root of 242770770 is about 623.8288639419.

The spelling of 242770770 in words is "two hundred forty-two million, seven hundred seventy thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 270 297 330 363 405 495 594 605 726 810 891 990 1089 1210 1485 1782 1815 2178 2477 2970 3267 3630 4455 4954 5445 6534 7431 8910 9801 10890 12385 14862 16335 19602 22293 24770 27247 32670 37155 44586 49005 54494 66879 74310 81741 98010 111465 133758 136235 163482 200637 222930 245223 272470 299717 334395 401274 408705 490446 599434 668790 735669 817410 899151 1003185 1226115 1471338 1498585 1798302 2006370 2207007 2452230 2697453 2997170 3678345 4414014 4495755 5394906 7356690 8092359 8991510 11035035 13487265 16184718 22070070 24277077 26974530 40461795 48554154 80923590 121385385 242770770