Search a number
-
+
22123450352200 = 23521937433659309
BaseRepresentation
bin1010000011111000001000…
…11001100100001001001000
32220022222111021221000112111
411001330010121210021020
510344432311242232300
6115015212304352104
74442236503142141
oct501740431441110
986288437830474
1022123450352200
11705a558a6a68a
12259380a915634
13c46303807a92
14566ad03aaac8
15285735bba9ba
hex141f04664248

22123450352200 has 192 divisors, whose sum is σ = 56900806776000. Its totient is φ = 7967338122240.

The previous prime is 22123450352183. The next prime is 22123450352207. The reversal of 22123450352200 is 225305432122.

It is not an unprimeable number, because it can be changed into a prime (22123450352207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4216146 + ... + 7875454.

It is an arithmetic number, because the mean of its divisors is an integer number (296358368625).

Almost surely, 222123450352200 is an apocalyptic number.

22123450352200 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 22123450352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28450403388000).

22123450352200 is an abundant number, since it is smaller than the sum of its proper divisors (34777356423800).

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

22123450352200 is a wasteful number, since it uses less digits than its factorization.

22123450352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659424 (or 3659415 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 22123450352200 its reverse (225305432122), we get a palindrome (22348755784322).

The spelling of 22123450352200 in words is "twenty-two trillion, one hundred twenty-three billion, four hundred fifty million, three hundred fifty-two thousand, two hundred".