Search a number
-
+
21022153200 = 24325253239461
BaseRepresentation
bin10011100101000001…
…001001100111110000
32000021001220000211200
4103211001021213300
5321023132400300
613354001411200
71342643232246
oct234501114760
960231800750
1021022153200
118a08503934
1240a8339b00
131ca03a0309
141035d5c796
15830876200
hex4e50499f0

21022153200 has 360 divisors, whose sum is σ = 74802087360. Its totient is φ = 5465241600.

The previous prime is 21022153177. The next prime is 21022153237. The reversal of 21022153200 is 235122012.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45600970 + ... + 45601430.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 221022153200 is an apocalyptic number.

21022153200 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 21022153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401043680).

21022153200 is an abundant number, since it is smaller than the sum of its proper divisors (53779934160).

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

21022153200 is a wasteful number, since it uses less digits than its factorization.

21022153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 21022153200 its reverse (235122012), we get a palindrome (21257275212).

The spelling of 21022153200 in words is "twenty-one billion, twenty-two million, one hundred fifty-three thousand, two hundred".