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148822272 = 28347177
BaseRepresentation
bin10001101111011…
…01100100000000
3101101000221210000
420313231210000
5301044303042
622433440000
73454653114
oct1067554400
9341027700
10148822272
1177008415
1241a10000
1324aa8b21
1415a9d744
15d0ea74c
hex8ded900

148822272 has 90 divisors (see below), whose sum is σ = 443822918. Its totient is φ = 49600512.

The previous prime is 148822189. The next prime is 148822273. The reversal of 148822272 is 272228841.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 2509056 = 12096^2 + 1584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (148822273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17148 + ... + 24324.

Almost surely, 2148822272 is an apocalyptic number.

148822272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221911459).

148822272 is an abundant number, since it is smaller than the sum of its proper divisors (295000646).

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

148822272 is an frugal number, since it uses more digits than its factorization.

148822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7182 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 148822272 is about 12199.2734209870. The cubic root of 148822272 is about 529.9350484069.

The spelling of 148822272 in words is "one hundred forty-eight million, eight hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 7177 10368 14354 20736 21531 28708 43062 57416 64593 86124 114832 129186 172248 193779 229664 258372 344496 387558 459328 516744 581337 688992 775116 918656 1033488 1162674 1377984 1550232 1837312 2066976 2325348 2755968 3100464 4133952 4650696 5511936 6200928 8267904 9301392 12401856 16535808 18602784 24803712 37205568 49607424 74411136 148822272