Search a number
-
+
122334320 = 2452336563
BaseRepresentation
bin1110100101010…
…10110001110000
322112012020010202
413102222301300
5222304144240
620050014332
73013552553
oct722526160
9275166122
10122334320
1163066649
1234b773a8
131c463594
141236669a
15ab17315
hex74aac70

122334320 has 40 divisors (see below), whose sum is σ = 285691536. Its totient is φ = 48716288.

The previous prime is 122334299. The next prime is 122334343. The reversal of 122334320 is 23433221.

122334320 = T479 + T480 + ... + T944.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 122334292 and 122334301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15359 + ... + 21921.

Almost surely, 2122334320 is an apocalyptic number.

122334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122334320 is an abundant number, since it is smaller than the sum of its proper divisors (163357216).

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

122334320 is a wasteful number, since it uses less digits than its factorization.

122334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 122334320 is about 11060.4846186774. The cubic root of 122334320 is about 496.4201911037.

Adding to 122334320 its reverse (23433221), we get a palindrome (145767541).

It can be divided in two parts, 12 and 2334320, that added together give a palindrome (2334332).

The spelling of 122334320 in words is "one hundred twenty-two million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 6563 9320 13126 18640 26252 32815 52504 65630 105008 131260 262520 525040 1529179 3058358 6116716 7645895 12233432 15291790 24466864 30583580 61167160 122334320