[go: up one dir, main page]

Search a number
-
+
122152032 = 2532424139
BaseRepresentation
bin1110100011111…
…10010001100000
322111211222002100
413101332101200
5222232331112
620042050400
73012163242
oct721762140
9274758070
10122152032
1162a516a2
1234aa9a00
131c3cb612
141231a092
15aacd2dc
hex747e460

122152032 has 36 divisors (see below), whose sum is σ = 347370660. Its totient is φ = 40717248.

The previous prime is 122152001. The next prime is 122152033. The reversal of 122152032 is 230251221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1221520322 = 29842237843458048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122151996 and 122152014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122152033) 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, 211782 + ... + 212357.

It is an arithmetic number, because the mean of its divisors is an integer number (9649185).

Almost surely, 2122152032 is an apocalyptic number.

122152032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122152032 is an abundant number, since it is smaller than the sum of its proper divisors (225218628).

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

122152032 is a wasteful number, since it uses less digits than its factorization.

122152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424155 (or 424144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122152032 is about 11052.2410397168. The cubic root of 122152032 is about 496.1734998303.

The spelling of 122152032 in words is "one hundred twenty-two million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 424139 848278 1272417 1696556 2544834 3393112 3817251 5089668 6786224 7634502 10179336 13572448 15269004 20358672 30538008 40717344 61076016 122152032