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122332002 = 23132223541
BaseRepresentation
bin1110100101010…
…10001101100010
322112012002221220
413102222031202
5222304111002
620045555510
73013543032
oct722521542
9275162856
10122332002
1163064931
1234b75b96
131c462500
14123658c2
15ab167bc
hex74aa362

122332002 has 48 divisors (see below), whose sum is σ = 266611968. Its totient is φ = 37402560.

The previous prime is 122331997. The next prime is 122332019. The reversal of 122332002 is 200233221.

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 23 ways as a sum of consecutive naturals, for example, 225852 + ... + 226392.

It is an arithmetic number, because the mean of its divisors is an integer number (5554416).

Almost surely, 2122332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133305984).

122332002 is an abundant number, since it is smaller than the sum of its proper divisors (144279966).

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

122332002 is a wasteful number, since it uses less digits than its factorization.

122332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122332002 is about 11060.3798307291. The cubic root of 122332002 is about 496.4170556814.

Adding to 122332002 its reverse (200233221), we get a palindrome (322565223).

The spelling of 122332002 in words is "one hundred twenty-two million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 13 26 39 78 169 223 338 446 507 541 669 1014 1082 1338 1623 2899 3246 5798 7033 8697 14066 17394 21099 37687 42198 75374 91429 113061 120643 182858 226122 241286 274287 361929 548574 723858 1568359 3136718 4705077 9410154 20388667 40777334 61166001 122332002