Search a number
-
+
21052840200 = 23352725359229
BaseRepresentation
bin10011100110110110…
…001101100100001000
32000100012122002111020
4103212312031210020
5321104011341300
613401015232440
71343465121600
oct234666154410
960305562436
1021052840200
118a23863497
1240b6678720
131ca6855bc2
14103a069c00
158333d88a0
hex4e6d8d908

21052840200 has 576 divisors, whose sum is σ = 79006104000. Its totient is φ = 4620994560.

The previous prime is 21052840181. The next prime is 21052840201. The reversal of 21052840200 is 204825012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21052840201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91933686 + ... + 91933914.

It is an arithmetic number, because the mean of its divisors is an integer number (137163375).

Almost surely, 221052840200 is an apocalyptic number.

21052840200 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 21052840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39503052000).

21052840200 is an abundant number, since it is smaller than the sum of its proper divisors (57953263800).

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

21052840200 is a wasteful number, since it uses less digits than its factorization.

21052840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 21052840200 in words is "twenty-one billion, fifty-two million, eight hundred forty thousand, two hundred".