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148891798225 = 5222923372
BaseRepresentation
bin1000101010101010100…
…1001000101011010001
3112020022112012000211101
42022222221020223101
54414412300020400
6152222215544401
713520451255202
oct2125251105321
9466275160741
10148891798225
11581655a1815
1224a3368b101
131106aab9571
1472c65195a9
153d1667856a
hex22aaa48ad1

148891798225 has 27 divisors (see below), whose sum is σ = 185987463507. Its totient is φ = 118241383680.

The previous prime is 148891798213. The next prime is 148891798273. The reversal of 148891798225 is 522897198841.

The square root of 148891798225 is 385865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 54013013649 + 94878784576 = 232407^2 + 308024^2 .

It is not a de Polignac number, because 148891798225 - 29 = 148891797713 is a prime.

It is a super-2 number, since 2×1488917982252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 441815257 + ... + 441815593.

Almost surely, 2148891798225 is an apocalyptic number.

148891798225 is the 385865-th square number.

148891798225 is the 192933-rd centered octagonal number.

It is an amenable number.

148891798225 is a deficient number, since it is larger than the sum of its proper divisors (37095665282).

148891798225 is an frugal number, since it uses more digits than its factorization.

148891798225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 64.

Multiplying 148891798225 by its sum of digits (64), we get a square (9529075086400 = 30869202).

The spelling of 148891798225 in words is "one hundred forty-eight billion, eight hundred ninety-one million, seven hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 229 337 1145 1685 5725 8425 52441 77173 113569 262205 385865 567845 1311025 1929325 2839225 17672617 26007301 88363085 130036505 441815425 650182525 5955671929 29778359645 148891798225