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122231232 = 2632212207
BaseRepresentation
bin1110100100100…
…01100111000000
322111222222201200
413102101213000
5222242344412
620043501200
73012643164
oct722214700
9274888650
10122231232
1162aa6152
1234b27800
131c428696
141233aca4
15aae69dc
hex74919c0

122231232 has 42 divisors (see below), whose sum is σ = 350355408. Its totient is φ = 40743552.

The previous prime is 122231189. The next prime is 122231279. The reversal of 122231232 is 232132221.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105528 + ... + 106679.

Almost surely, 2122231232 is an apocalyptic number.

122231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122231232 is an abundant number, since it is smaller than the sum of its proper divisors (228124176).

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

122231232 is a wasteful number, since it uses less digits than its factorization.

122231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212225 (or 212212 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122231232 is about 11055.8234428739. The cubic root of 122231232 is about 496.2807117218.

Adding to 122231232 its reverse (232132221), we get a palindrome (354363453).

The spelling of 122231232 in words is "one hundred twenty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 212207 424414 636621 848828 1273242 1697656 1909863 2546484 3395312 3819726 5092968 6790624 7639452 10185936 13581248 15278904 20371872 30557808 40743744 61115616 122231232