Search a number
-
+
22233123000 = 2334531124953
BaseRepresentation
bin10100101101001100…
…101000100010111000
32010101110112200010000
4110231030220202320
5331013134414000
614114100553000
71414646266404
oct245514504270
963343480100
1022233123000
11947a022420
1243859b2760
1321342358aa
14110cb06104
158a1d2c000
hex52d3288b8

22233123000 has 320 divisors, whose sum is σ = 84785706720. Its totient is φ = 5389632000.

The previous prime is 22233122993. The next prime is 22233123001. The reversal of 22233123000 is 32133222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22233123001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 878524 + ... + 903476.

Almost surely, 222233123000 is an apocalyptic number.

22233123000 is a gapful number since it is divisible by the number (20) 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 22233123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42392853360).

22233123000 is an abundant number, since it is smaller than the sum of its proper divisors (62552583720).

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

22233123000 is a wasteful number, since it uses less digits than its factorization.

22233123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24997 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22233123000 its reverse (32133222), we get a palindrome (22265256222).

The spelling of 22233123000 in words is "twenty-two billion, two hundred thirty-three million, one hundred twenty-three thousand".