Search a number
-
+
122500152 = 23321701391
BaseRepresentation
bin1110100110100…
…11010000111000
322112111122121200
413103103100320
5222330001102
620053334200
73015143205
oct723232070
9275448550
10122500152
116316a1a5
1235037360
131c4c0bc8
14123aacac
15ab4b51c
hex74d3438

122500152 has 24 divisors (see below), whose sum is σ = 331771440. Its totient is φ = 40833360.

The previous prime is 122500129. The next prime is 122500159. The reversal of 122500152 is 251005221.

122500152 is a `hidden beast` number, since 12 + 2 + 500 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122500159) 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, 850624 + ... + 850767.

It is an arithmetic number, because the mean of its divisors is an integer number (13823810).

Almost surely, 2122500152 is an apocalyptic number.

122500152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122500152 is an abundant number, since it is smaller than the sum of its proper divisors (209271288).

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

122500152 is a wasteful number, since it uses less digits than its factorization.

122500152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701403 (or 1701396 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 122500152 is about 11067.9786772473. The cubic root of 122500152 is about 496.6443996043.

Adding to 122500152 its reverse (251005221), we get a palindrome (373505373).

The spelling of 122500152 in words is "one hundred twenty-two million, five hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1701391 3402782 5104173 6805564 10208346 13611128 15312519 20416692 30625038 40833384 61250076 122500152