Search a number
-
+
122292252 = 22323791811
BaseRepresentation
bin1110100101000…
…00100000011100
322112010002102200
413102200200130
5222301323002
620045051500
73013316115
oct722404034
9275102380
10122292252
1163037a85
1234b56b90
131c44a3a4
141235520c
15ab09b1c
hex74a081c

122292252 has 36 divisors (see below), whose sum is σ = 317485896. Its totient is φ = 39661920.

The previous prime is 122292239. The next prime is 122292259. The reversal of 122292252 is 252292221.

122292252 is a `hidden beast` number, since 122 + 292 + 252 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122292259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44574 + ... + 47237.

Almost surely, 2122292252 is an apocalyptic number.

122292252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122292252 is an abundant number, since it is smaller than the sum of its proper divisors (195193644).

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

122292252 is a wasteful number, since it uses less digits than its factorization.

122292252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91858 (or 91853 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 122292252 is about 11058.5827301694. The cubic root of 122292252 is about 496.3632820291.

The spelling of 122292252 in words is "one hundred twenty-two million, two hundred ninety-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 91811 183622 275433 367244 550866 826299 1101732 1652598 3305196 3397007 6794014 10191021 13588028 20382042 30573063 40764084 61146126 122292252