Search a number
-
+
225444514104 = 23323131173807
BaseRepresentation
bin1101000111110110001…
…0100100100100111000
3210112220121121221000200
43101331202210210320
512143202243422404
6251322350202200
722200503515605
oct3217542444470
9715817557020
10225444514104
1187679607257
1237838ab3360
131834a981394
14aca94d96ac
155ce719e839
hex347d8a4938

225444514104 has 24 divisors (see below), whose sum is σ = 610578892560. Its totient is φ = 75148171344.

The previous prime is 225444514103. The next prime is 225444514109. The reversal of 225444514104 is 401415444522.

225444514104 is a `hidden beast` number, since 2 + 2 + 544 + 4 + 5 + 1 + 4 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225444514103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1565586832 + ... + 1565586975.

It is an arithmetic number, because the mean of its divisors is an integer number (25440787190).

Almost surely, 2225444514104 is an apocalyptic number.

225444514104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225444514104 is an abundant number, since it is smaller than the sum of its proper divisors (385134378456).

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

225444514104 is a wasteful number, since it uses less digits than its factorization.

225444514104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131173819 (or 3131173812 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 225444514104 its reverse (401415444522), we get a palindrome (626859958626).

The spelling of 225444514104 in words is "two hundred twenty-five billion, four hundred forty-four million, five hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3131173807 6262347614 9393521421 12524695228 18787042842 25049390456 28180564263 37574085684 56361128526 75148171368 112722257052 225444514104