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147007062225 = 3252255612
BaseRepresentation
bin1000100011101001001…
…1011100000011010001
3112001110011201112002100
42020322103130003101
54402032301442400
6151311211311013
713422654261102
oct2107223340321
9461404645070
10147007062225
1157388721761
12245a844b469
1310b2a49b56a
1471880a63a9
153c55e83100
hex223a4dc0d1

147007062225 has 27 divisors (see below), whose sum is σ = 263316284049. Its totient is φ = 78400699200.

The previous prime is 147007062211. The next prime is 147007062259. The reversal of 147007062225 is 522260700741.

It is a happy number.

The square root of 147007062225 is 383415.

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

147007062225 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 0 + 7 + 0 + 622 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5922687681 + 141084374544 = 76959^2 + 375612^2 .

It is not a de Polignac number, because 147007062225 - 227 = 146872844497 is a prime.

It is a super-2 number, since 2×1470070622252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147007062225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5738445 + ... + 5764005.

Almost surely, 2147007062225 is an apocalyptic number.

147007062225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

147007062225 is the 383415-th square number.

147007062225 is the 191708-th centered octagonal number.

It is an amenable number.

147007062225 is a deficient number, since it is larger than the sum of its proper divisors (116309221824).

147007062225 is an frugal number, since it uses more digits than its factorization.

147007062225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51138 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 147007062225 by its sum of digits (36), we get a square (5292254240100 = 23004902).

Adding to 147007062225 its reverse (522260700741), we get a palindrome (669267762966).

The spelling of 147007062225 in words is "one hundred forty-seven billion, seven million, sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 25561 76683 127805 230049 383415 639025 1150245 1917075 5751225 653364721 1960094163 3266823605 5880282489 9800470815 16334118025 29401412445 49002354075 147007062225