Search a number
-
+
23730004200 = 23352721779601
BaseRepresentation
bin10110000110011010…
…110010000011101000
32021020210012010002110
4112012122302003220
5342044340113300
614522412202320
71500023464500
oct260632620350
967223163073
1023730004200
11a077a72421
1247231693a0
1323123a5406
141211836a00
1593d45c550
hex5866b20e8

23730004200 has 576 divisors, whose sum is σ = 91906617600. Its totient is φ = 5031936000.

The previous prime is 23730004187. The next prime is 23730004213. The reversal of 23730004200 is 240003732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23730004187) and next prime (23730004213).

It is a super-2 number, since 2×237300042002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39483900 + ... + 39484500.

It is an arithmetic number, because the mean of its divisors is an integer number (159560100).

Almost surely, 223730004200 is an apocalyptic number.

23730004200 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 23730004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45953308800).

23730004200 is an abundant number, since it is smaller than the sum of its proper divisors (68176613400).

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

23730004200 is a wasteful number, since it uses less digits than its factorization.

23730004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

Adding to 23730004200 its reverse (240003732), we get a palindrome (23970007932).

The spelling of 23730004200 in words is "twenty-three billion, seven hundred thirty million, four thousand, two hundred".