Search a number
-
+
225271738384 = 2472112232672
BaseRepresentation
bin1101000111001100111…
…1011111000000010000
3210112110120112000021221
43101303033133000100
512142324031112014
6251253255054424
722163305116400
oct3216317370020
9715416460257
10225271738384
11875a0029300
12377ab071414
1318320c39824
14ac905a2800
155cd6e21b24
hex34733df010

225271738384 has 405 divisors, whose sum is σ = 592232655231. Its totient is φ = 82699182720.

The previous prime is 225271738379. The next prime is 225271738387. The reversal of 225271738384 is 483837172522.

The square root of 225271738384 is 474628.

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

It is a super-2 number, since 2×2252717383842 (a number of 24 digits) contains 22 as substring.

Its product of digits (4515840) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (225271738387) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3362264719 + ... + 3362264785.

Almost surely, 2225271738384 is an apocalyptic number.

225271738384 is the 474628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225271738384

225271738384 is an abundant number, since it is smaller than the sum of its proper divisors (366960916847).

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

225271738384 is a wasteful number, since it uses less digits than its factorization.

225271738384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 225271738384 in words is "two hundred twenty-five billion, two hundred seventy-one million, seven hundred thirty-eight thousand, three hundred eighty-four".