Search a number
-
+
122320992 = 2532355399
BaseRepresentation
bin1110100101001…
…11100001100000
322112011112212010
413102213201200
5222303232432
620045432520
73013465653
oct722474140
9275145763
10122320992
1163057632
1234b6b740
131c45a4b1
141236189a
15ab133cc
hex74a7860

122320992 has 48 divisors (see below), whose sum is σ = 335059200. Its totient is φ = 39000192.

The previous prime is 122320981. The next prime is 122320997. The reversal of 122320992 is 299023221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122320997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25492 + ... + 29907.

It is an arithmetic number, because the mean of its divisors is an integer number (6980400).

Almost surely, 2122320992 is an apocalyptic number.

122320992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122320992 is an abundant number, since it is smaller than the sum of its proper divisors (212738208).

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

122320992 is a wasteful number, since it uses less digits than its factorization.

122320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55435 (or 55427 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 122320992 is about 11059.8820970207. The cubic root of 122320992 is about 496.4021625608.

The spelling of 122320992 in words is "one hundred twenty-two million, three hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 55399 110798 166197 221596 332394 443192 664788 886384 1274177 1329576 1772768 2548354 2659152 3822531 5096708 5318304 7645062 10193416 15290124 20386832 30580248 40773664 61160496 122320992