Search a number
-
+
23000322400000 = 2855112613673
BaseRepresentation
bin1010011101011001011100…
…00010111101111100000000
310000102210212000101101202121
411032230232002331330000
511003314130013300000
6120530111403454024
74562501300441461
oct516545602757400
9100383760341677
1023000322400000
1173684224176a0
1226b5749527314
13caabc885536a
14597315cb8d68
1529d457a60b1a
hex14eb2e0bdf00

23000322400000 has 216 divisors, whose sum is σ = 62601653269008. Its totient is φ = 8363750400000.

The previous prime is 23000322399983. The next prime is 23000322400061. The reversal of 23000322400000 is 422300032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7493164 + ... + 10106836.

It is an arithmetic number, because the mean of its divisors is an integer number (289822468838).

Almost surely, 223000322400000 is an apocalyptic number.

23000322400000 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 23000322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31300826634504).

23000322400000 is an abundant number, since it is smaller than the sum of its proper divisors (39601330869008).

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

23000322400000 is an frugal number, since it uses more digits than its factorization.

23000322400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613725 (or 2613691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 23000322400000 its reverse (422300032), we get a palindrome (23000744700032).

The spelling of 23000322400000 in words is "twenty-three trillion, three hundred twenty-two million, four hundred thousand".