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122646220 = 225291032053
BaseRepresentation
bin1110100111101…
…10111011001100
322112210001222121
413103312323030
5222344134340
620100422324
73016322104
oct723667314
9275701877
10122646220
1163259a14
12350a79a4
131c542538
1412408204
15ab7994a
hex74f6ecc

122646220 has 48 divisors (see below), whose sum is σ = 269156160. Its totient is φ = 46884096.

The previous prime is 122646203. The next prime is 122646239. The reversal of 122646220 is 22646221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58714 + ... + 60766.

It is an arithmetic number, because the mean of its divisors is an integer number (5607420).

Almost surely, 2122646220 is an apocalyptic number.

122646220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122646220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134578080).

122646220 is an abundant number, since it is smaller than the sum of its proper divisors (146509940).

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

122646220 is a wasteful number, since it uses less digits than its factorization.

122646220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 122646220 is about 11074.5753868941. The cubic root of 122646220 is about 496.8417191954.

Subtracting from 122646220 its reverse (22646221), we obtain a palindrome (99999999).

The spelling of 122646220 in words is "one hundred twenty-two million, six hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 2053 2060 2987 4106 5974 8212 10265 11948 14935 20530 29870 41060 59537 59740 119074 211459 238148 297685 422918 595370 845836 1057295 1190740 2114590 4229180 6132311 12264622 24529244 30661555 61323110 122646220