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120233022 = 2371331303
BaseRepresentation
bin1110010101010…
…01110000111110
322101020110200220
413022221300332
5221234424042
615533002210
72656651410
oct712516076
9271213626
10120233022
1161960938
1234323366
131bba9000
1411d7a9b0
15a84e8ec
hex72a9c3e

120233022 has 64 divisors (see below), whose sum is σ = 297937920. Its totient is φ = 31685472.

The previous prime is 120233021. The next prime is 120233063. The reversal of 120233022 is 220332021.

It is a junction number, because it is equal to n+sod(n) for n = 120232992 and 120233010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120233021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91623 + ... + 92925.

It is an arithmetic number, because the mean of its divisors is an integer number (4655280).

Almost surely, 2120233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148968960).

120233022 is an abundant number, since it is smaller than the sum of its proper divisors (177704898).

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

120233022 is a wasteful number, since it uses less digits than its factorization.

120233022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1328 counting only the distinct ones).

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

The square root of 120233022 is about 10965.0819422383. The cubic root of 120233022 is about 493.5614760266.

Adding to 120233022 its reverse (220332021), we get a palindrome (340565043).

The spelling of 120233022 in words is "one hundred twenty million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 1303 2197 2366 2606 3549 3909 4394 6591 7098 7818 9121 13182 15379 16939 18242 27363 30758 33878 46137 50817 54726 92274 101634 118573 220207 237146 355719 440414 660621 711438 1321242 1541449 2862691 3082898 4624347 5725382 8588073 9248694 17176146 20038837 40077674 60116511 120233022