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242101504 = 287911971
BaseRepresentation
bin11100110111000…
…10110100000000
3121212120000211101
432123202310000
5443434222004
640005024144
75666554201
oct1633426400
9555500741
10242101504
11114729497
12690b5054
133b208538
14242215a8
15163c3ba4
hexe6e2d00

242101504 has 36 divisors (see below), whose sum is σ = 489415360. Its totient is φ = 119508480.

The previous prime is 242101501. The next prime is 242101529. The reversal of 242101504 is 405101242.

It is a super-2 number, since 2×2421015042 = 117226276478124032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14239 + ... + 26209.

Almost surely, 2242101504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244707680).

242101504 is an abundant number, since it is smaller than the sum of its proper divisors (247313856).

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

242101504 is an equidigital number, since it uses as much as digits as its factorization.

242101504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 242101504 is about 15559.6113061991. The cubic root of 242101504 is about 623.2550830373.

Adding to 242101504 its reverse (405101242), we get a palindrome (647202746).

The spelling of 242101504 in words is "two hundred forty-two million, one hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 10112 11971 20224 23942 47884 95768 191536 383072 766144 945709 1532288 1891418 3064576 3782836 7565672 15131344 30262688 60525376 121050752 242101504