Search a number
-
+
122232402 = 235435849
BaseRepresentation
bin1110100100100…
…01111001010010
322112000001100000
413102101321102
5222242414102
620043510430
73012646455
oct722217122
9275001300
10122232402
1162aa7016
1234b28416
131c429086
141233b49c
15aae701c
hex7491e52

122232402 has 48 divisors (see below), whose sum is σ = 281080800. Its totient is φ = 39789792.

The previous prime is 122232401. The next prime is 122232403. The reversal of 122232402 is 204232221.

It is an interprime number because it is at equal distance from previous prime (122232401) and next prime (122232403).

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

It is not an unprimeable number, because it can be changed into a prime (122232401) 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 23 ways as a sum of consecutive naturals, for example, 17974 + ... + 23822.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2122232402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140540400).

122232402 is an abundant number, since it is smaller than the sum of its proper divisors (158848398).

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

122232402 is an equidigital number, since it uses as much as digits as its factorization.

122232402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122232402 is about 11055.8763560380. The cubic root of 122232402 is about 496.2822951867.

Adding to 122232402 its reverse (204232221), we get a palindrome (326464623).

The spelling of 122232402 in words is "one hundred twenty-two million, two hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2322 3483 5849 6966 10449 11698 17547 20898 35094 52641 105282 157923 251507 315846 473769 503014 754521 947538 1421307 1509042 2263563 2842614 4527126 6790689 13581378 20372067 40744134 61116201 122232402