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148200324 = 223291093907
BaseRepresentation
bin10001101010101…
…01101110000100
3101022212100121220
420311111232010
5300414402244
622412240340
73446452626
oct1065255604
9338770556
10148200324
1176723108
12417700b0
132491b9cc
141597ac16
15d026319
hex8d55b84

148200324 has 48 divisors (see below), whose sum is σ = 361099200. Its totient is φ = 47246976.

The previous prime is 148200301. The next prime is 148200329. The reversal of 148200324 is 423002841.

It is a junction number, because it is equal to n+sod(n) for n = 148200294 and 148200303.

It is not an unprimeable number, because it can be changed into a prime (148200329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35979 + ... + 39885.

It is an arithmetic number, because the mean of its divisors is an integer number (7522900).

Almost surely, 2148200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180549600).

148200324 is an abundant number, since it is smaller than the sum of its proper divisors (212898876).

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

148200324 is a wasteful number, since it uses less digits than its factorization.

148200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 148200324 is about 12173.7555421489. The cubic root of 148200324 is about 529.1957947000.

The spelling of 148200324 in words is "one hundred forty-eight million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1308 3161 3907 6322 7814 9483 11721 12644 15628 18966 23442 37932 46884 113303 226606 339909 425863 453212 679818 851726 1277589 1359636 1703452 2555178 5110356 12350027 24700054 37050081 49400108 74100162 148200324