Search a number
-
+
225723772464 = 24319571240283
BaseRepresentation
bin1101001000111000101…
…1110110111000110000
3210120122002002201110220
43102032023312320300
512144240241204324
6251410203453040
722210434260121
oct3221613667060
9716562081426
10225723772464
1187802204193
12378b6527180
1318393799308
14acd4630048
155d11962b79
hex348e2f6e30

225723772464 has 40 divisors (see below), whose sum is σ = 583151967552. Its totient is φ = 75237099840.

The previous prime is 225723772447. The next prime is 225723772471. The reversal of 225723772464 is 464277327522.

225723772464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819267 + ... + 1059549.

Almost surely, 2225723772464 is an apocalyptic number.

225723772464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225723772464 is an abundant number, since it is smaller than the sum of its proper divisors (357428195088).

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

225723772464 is a wasteful number, since it uses less digits than its factorization.

225723772464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259865 (or 259859 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 51.

The spelling of 225723772464 in words is "two hundred twenty-five billion, seven hundred twenty-three million, seven hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 19571 39142 58713 78284 117426 156568 234852 240283 313136 469704 480566 720849 939408 961132 1441698 1922264 2883396 3844528 5766792 11533584 4702578593 9405157186 14107735779 18810314372 28215471558 37620628744 56430943116 75241257488 112861886232 225723772464