Search a number
-
+
2023200132210 = 23557123350329
BaseRepresentation
bin11101011100010000001…
…000000000110001110010
321011102020021222200100000
4131130100020000301302
5231122003213212320
64145240104210430
7266112533242335
oct35342010006162
97142207880300
102023200132210
11710041803574
12288139769a16
13118a2cc25a5a
146dccdb9661c
1537964b70c90
hex1d710200c72

2023200132210 has 192 divisors, whose sum is σ = 5555832871680. Its totient is φ = 529627714560.

The previous prime is 2023200132179. The next prime is 2023200132277. The reversal of 2023200132210 is 122310023202.

2023200132210 is a `hidden beast` number, since 2 + 0 + 2 + 320 + 0 + 132 + 210 = 666.

It is a super-2 number, since 2×20232001322102 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40174326 + ... + 40224654.

It is an arithmetic number, because the mean of its divisors is an integer number (28936629540).

Almost surely, 22023200132210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023200132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777916435840).

2023200132210 is an abundant number, since it is smaller than the sum of its proper divisors (3532632739470).

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

2023200132210 is a wasteful number, since it uses less digits than its factorization.

2023200132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50655 (or 50643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023200132210 its reverse (122310023202), we get a palindrome (2145510155412).

The spelling of 2023200132210 in words is "two trillion, twenty-three billion, two hundred million, one hundred thirty-two thousand, two hundred ten".