Search a number
-
+
2230023000 = 233534359293
BaseRepresentation
bin1000010011101011…
…0111001101011000
312202102011220110110
42010322313031120
514031341214000
61005141044320
7106155611532
oct20472671530
95672156413
102230023000
11a44876317
125229b66a0
13297013c4a
14172254852
15d0b9c850
hex84eb7358

2230023000 has 256 divisors, whose sum is σ = 7264857600. Its totient is φ = 569049600.

The previous prime is 2230022999. The next prime is 2230023007. The reversal of 2230023000 is 3200322.

2230023000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230023007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7610854 + ... + 7611146.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 22230023000 is an apocalyptic number.

2230023000 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 2230023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

2230023000 is an abundant number, since it is smaller than the sum of its proper divisors (5034834600).

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

2230023000 is a wasteful number, since it uses less digits than its factorization.

2230023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2230023000 is about 47223.1193378836. The cubic root of 2230023000 is about 1306.4810477805.

Adding to 2230023000 its reverse (3200322), we get a palindrome (2233223322).

The spelling of 2230023000 in words is "two billion, two hundred thirty million, twenty-three thousand".