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23220142000 = 2453112229419
BaseRepresentation
bin10101101000000001…
…110011111110110000
32012221020210102122021
4111220001303332300
5340023324021000
614400040121224
71451262643666
oct255001637660
965836712567
1023220142000
11993618a400
124600466214
1322608793c3
1411a3c34c36
1590d7e711a
hex568073fb0

23220142000 has 240 divisors, whose sum is σ = 62131960800. Its totient is φ = 8386752000.

The previous prime is 23220141983. The next prime is 23220142027. The reversal of 23220142000 is 24102232.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55417791 + ... + 55418209.

It is an arithmetic number, because the mean of its divisors is an integer number (258883170).

Almost surely, 223220142000 is an apocalyptic number.

23220142000 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 23220142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065980400).

23220142000 is an abundant number, since it is smaller than the sum of its proper divisors (38911818800).

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

23220142000 is a wasteful number, since it uses less digits than its factorization.

23220142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23220142000 its reverse (24102232), we get a palindrome (23244244232).

The spelling of 23220142000 in words is "twenty-three billion, two hundred twenty million, one hundred forty-two thousand".