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122468272 = 2417895059
BaseRepresentation
bin1110100110010…
…11011110110000
322112110000212221
413103023132300
5222322441042
620052530424
73014651233
oct723133660
9275400787
10122468272
1163148253
1235020a14
131c4ac544
141239d41a
15ab41d67
hex74cb7b0

122468272 has 40 divisors (see below), whose sum is σ = 254113200. Its totient is φ = 56973312.

The previous prime is 122468263. The next prime is 122468279. The reversal of 122468272 is 272864221.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (122468279) 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, 21679 + ... + 26737.

It is an arithmetic number, because the mean of its divisors is an integer number (6352830).

Almost surely, 2122468272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127056600).

122468272 is an abundant number, since it is smaller than the sum of its proper divisors (131644928).

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

122468272 is a wasteful number, since it uses less digits than its factorization.

122468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5167 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 122468272 is about 11066.5383928309. The cubic root of 122468272 is about 496.6013128628.

It can be divided in two parts, 1224 and 68272, that added together give a palindrome (69496).

The spelling of 122468272 in words is "one hundred twenty-two million, four hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 5059 6052 10118 12104 20236 24208 40472 80944 86003 172006 344012 450251 688024 900502 1376048 1801004 3602008 7204016 7654267 15308534 30617068 61234136 122468272