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242532221225 = 52785711711381
BaseRepresentation
bin1110000111100000001…
…1000000000100101001
3212012000111011101111012
43201320003000010221
512433201222034400
6303230123113305
723344113602660
oct3417003000451
9765014141435
10242532221225
1193948130558
123b007672835
1319b41ba2b98
14ba4aac9dd7
1564973edd35
hex38780c0129

242532221225 has 48 divisors (see below), whose sum is σ = 344647095936. Its totient is φ = 165851712000.

The previous prime is 242532221179. The next prime is 242532221249. The reversal of 242532221225 is 522122235242.

It is not a de Polignac number, because 242532221225 - 28 = 242532220969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242532221191 and 242532221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175620035 + ... + 175621415.

It is an arithmetic number, because the mean of its divisors is an integer number (7180147832).

Almost surely, 2242532221225 is an apocalyptic number.

242532221225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242532221225 is a deficient number, since it is larger than the sum of its proper divisors (102114874711).

242532221225 is a wasteful number, since it uses less digits than its factorization.

242532221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3421 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

Adding to 242532221225 its reverse (522122235242), we get a palindrome (764654456467).

The spelling of 242532221225 in words is "two hundred forty-two billion, five hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 175 857 1171 1381 4285 5855 5999 6905 8197 9667 21425 29275 29995 34525 40985 48335 149975 204925 241675 1003547 1183517 1617151 5017735 5917585 7024829 8085755 8284619 11320057 25088675 29587925 35124145 40428775 41423095 56600285 175620725 207115475 283001425 1385898407 6929492035 9701288849 34647460175 48506444245 242532221225