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242019722025 = 3252327972
BaseRepresentation
bin1110000101100101111…
…1111110001100101001
3212010200202210201202100
43201121133332030221
512431124022101100
6303103214324013
723325321460134
oct3413137761451
9763622721670
10242019722025
11937049072a4
123aaa3ab9609
1319a8c962813
14b9dc9dd21b
156467417400
hex38597fe329

242019722025 has 27 divisors (see below), whose sum is σ = 433497430821. Its totient is φ = 129073249440.

The previous prime is 242019722003. The next prime is 242019722051. The reversal of 242019722025 is 520227910242.

It is a happy number.

The square root of 242019722025 is 491955.

It is a perfect power (a square), and thus also a powerful number.

242019722025 is a `hidden beast` number, since 2 + 420 + 1 + 9 + 7 + 220 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72071308521 + 169948413504 = 268461^2 + 412248^2 .

It is not a de Polignac number, because 242019722025 - 227 = 241885504297 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7362927 + ... + 7395723.

Almost surely, 2242019722025 is an apocalyptic number.

242019722025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242019722025 is the 491955-th square number.

242019722025 is the 245978-th centered octagonal number.

It is an amenable number.

242019722025 is a deficient number, since it is larger than the sum of its proper divisors (191477708796).

242019722025 is an frugal number, since it uses more digits than its factorization.

242019722025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65610 (or 32805 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 242019722025 by its sum of digits (36), we get a square (8712709992900 = 29517302).

The spelling of 242019722025 in words is "two hundred forty-two billion, nineteen million, seven hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 32797 98391 163985 295173 491955 819925 1475865 2459775 7379325 1075643209 3226929627 5378216045 9680788881 16134648135 26891080225 48403944405 80673240675 242019722025