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242193601 = 13374112281
BaseRepresentation
bin11100110111110…
…01010011000001
3121212201201011101
432123321103001
5444000143401
640011014401
76000416536
oct1633712301
9555651141
10242193601
11114791701
126913a401
133b23b430
1424246d8d
15163e1101
hexe6f94c1

242193601 has 16 divisors (see below), whose sum is σ = 274429008. Its totient is φ = 212198400.

The previous prime is 242193583. The next prime is 242193613. The reversal of 242193601 is 106391242.

It can be written as a sum of positive squares in 8 ways, for example, as 360000 + 241833601 = 600^2 + 15551^2 .

It is a cyclic number.

It is not a de Polignac number, because 242193601 - 211 = 242191553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242193601.

It is not an unprimeable number, because it can be changed into a prime (242193641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13581 + ... + 25861.

It is an arithmetic number, because the mean of its divisors is an integer number (17151813).

Almost surely, 2242193601 is an apocalyptic number.

It is an amenable number.

242193601 is a deficient number, since it is larger than the sum of its proper divisors (32235407).

242193601 is a wasteful number, since it uses less digits than its factorization.

242193601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 242193601 is about 15562.5705138965. The cubic root of 242193601 is about 623.3341031253.

The spelling of 242193601 in words is "two hundred forty-two million, one hundred ninety-three thousand, six hundred one".

Divisors: 1 13 37 41 481 533 1517 12281 19721 159653 454397 503521 5907161 6545773 18630277 242193601