Search a number
-
+
148142200 = 2352740711
BaseRepresentation
bin10001101010001…
…11100001111000
3101022202101220011
420311013201320
5300411022300
622411111304
73446121313
oct1065074170
9338671804
10148142200
1176693478
1241742534
13248cb40b
141596397a
15d013eba
hex8d47878

148142200 has 24 divisors (see below), whose sum is σ = 344431080. Its totient is φ = 59256800.

The previous prime is 148142177. The next prime is 148142201. The reversal of 148142200 is 2241841.

148142200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1481422002 = 43892222841680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148142201) 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 5 ways as a sum of consecutive naturals, for example, 370156 + ... + 370555.

It is an arithmetic number, because the mean of its divisors is an integer number (14351295).

Almost surely, 2148142200 is an apocalyptic number.

148142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148142200 is an abundant number, since it is smaller than the sum of its proper divisors (196288880).

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

148142200 is a wasteful number, since it uses less digits than its factorization.

148142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740727 (or 740718 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 148142200 is about 12171.3680414323. The cubic root of 148142200 is about 529.1266023222.

It can be divided in two parts, 1481 and 42200, that added together give a square (43681 = 2092).

The spelling of 148142200 in words is "one hundred forty-eight million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 740711 1481422 2962844 3703555 5925688 7407110 14814220 18517775 29628440 37035550 74071100 148142200