Search a number
-
+
123200022 = 2311315427
BaseRepresentation
bin1110101011111…
…10001000010110
322120211012122210
413111332020112
5223014400042
620120334250
73024116511
oct725761026
9276735583
10123200022
11635a8000
1235314386
131c6a762a
141250dd78
15ac38a9c
hex757e216

123200022 has 32 divisors (see below), whose sum is σ = 271039104. Its totient is φ = 37330920.

The previous prime is 123200017. The next prime is 123200023. The reversal of 123200022 is 220002321.

It is a junction number, because it is equal to n+sod(n) for n = 123199980 and 123200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (8469972).

Almost surely, 2123200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135519552).

123200022 is an abundant number, since it is smaller than the sum of its proper divisors (147839082).

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

123200022 is a wasteful number, since it uses less digits than its factorization.

123200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123200022 is about 11099.5505314405. The cubic root of 123200022 is about 497.5884165642.

Adding to 123200022 its reverse (220002321), we get a palindrome (343202343).

The spelling of 123200022 in words is "one hundred twenty-three million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 15427 30854 46281 92562 169697 339394 509091 1018182 1866667 3733334 5600001 11200002 20533337 41066674 61600011 123200022