Search a number
-
+
22340203200 = 26325271713037
BaseRepresentation
bin10100110011100101…
…000111001011000000
32010122221000220112100
4110303211013023000
5331223043000300
614132444030400
71420416410520
oct246345071300
963587026470
1022340203200
11952450a357
1243b5832400
132150487c63
14111d01b680
158ab42e700
hex5339472c0

22340203200 has 504 divisors, whose sum is σ = 96090894432. Its totient is φ = 4805591040.

The previous prime is 22340203153. The next prime is 22340203201. The reversal of 22340203200 is 230204322.

22340203200 is a `hidden beast` number, since 2 + 2 + 340 + 2 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (22340203201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1707082 + ... + 1720118.

Almost surely, 222340203200 is an apocalyptic number.

22340203200 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 22340203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48045447216).

22340203200 is an abundant number, since it is smaller than the sum of its proper divisors (73750691232).

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

22340203200 is a wasteful number, since it uses less digits than its factorization.

22340203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22340203200 its reverse (230204322), we get a palindrome (22570407522).

The spelling of 22340203200 in words is "twenty-two billion, three hundred forty million, two hundred three thousand, two hundred".