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244149633225 = 3252329412
BaseRepresentation
bin1110001101100001110…
…0111100000011001001
3212100012012121102122100
43203120130330003021
513000004301230400
6304054421544013
723432153432601
oct3433034740311
9770165542570
10244149633225
11945a8115093
123b399275009
131a03bcc40c4
14bb61833c01
15653e3dc100
hex38d873c0c9

244149633225 has 27 divisors (see below), whose sum is σ = 437312396469. Its totient is φ = 130209184800.

The previous prime is 244149633197. The next prime is 244149633229. The reversal of 244149633225 is 522336941442.

The square root of 244149633225 is 494115.

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

244149633225 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 4 + 9 + 633 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22918629321 + 221231003904 = 151389^2 + 470352^2 .

It is not a de Polignac number, because 244149633225 - 225 = 244116078793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (244149633229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7395255 + ... + 7428195.

Almost surely, 2244149633225 is an apocalyptic number.

244149633225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

244149633225 is the 494115-th square number.

244149633225 is the 247058-th centered octagonal number.

It is an amenable number.

244149633225 is a deficient number, since it is larger than the sum of its proper divisors (193162763244).

244149633225 is an frugal number, since it uses more digits than its factorization.

244149633225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65898 (or 32949 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

It can be divided in two parts, 2441 and 49633225, that added together give a triangular number (49635666 = T9963).

The spelling of 244149633225 in words is "two hundred forty-four billion, one hundred forty-nine million, six hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 32941 98823 164705 296469 494115 823525 1482345 2470575 7411725 1085109481 3255328443 5425547405 9765985329 16276642215 27127737025 48829926645 81383211075 244149633225