Search a number
-
+
225152742060 = 223251250848567
BaseRepresentation
bin1101000110110000100…
…1100011001010101100
3210112011021121101000200
43101230021203022230
512142103100221220
6251233404353500
722160331505341
oct3215411431254
9715137541020
10225152742060
1187539942634
1237777245890
13183023a46bc
14ac7c8687c8
155ccb768890
hex346c2632ac

225152742060 has 36 divisors (see below), whose sum is σ = 682963318128. Its totient is φ = 60040731168.

The previous prime is 225152742047. The next prime is 225152742071. The reversal of 225152742060 is 60247251522.

225152742060 is a `hidden beast` number, since 2 + 2 + 51 + 527 + 4 + 20 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625424104 + ... + 625424463.

Almost surely, 2225152742060 is an apocalyptic number.

225152742060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225152742060 is an abundant number, since it is smaller than the sum of its proper divisors (457810576068).

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

225152742060 is a wasteful number, since it uses less digits than its factorization.

225152742060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250848582 (or 1250848577 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 225152742060 its reverse (60247251522), we get a palindrome (285399993582).

The spelling of 225152742060 in words is "two hundred twenty-five billion, one hundred fifty-two million, seven hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1250848567 2501697134 3752545701 5003394268 6254242835 7505091402 11257637103 12508485670 15010182804 18762728505 22515274206 25016971340 37525457010 45030548412 56288185515 75050914020 112576371030 225152742060