Search a number
-
+
22100211000 = 23325371937499
BaseRepresentation
bin10100100101010001…
…100111010100111000
32010001012110001010100
4110211101213110320
5330230123223000
614052552115400
71411443460020
oct244521472470
963035401110
1022100211000
119410aa169a
124349395b60
13211283a83a
1410d91c8a80
15895325a00
hex525467538

22100211000 has 768 divisors, whose sum is σ = 92476800000. Its totient is φ = 4646937600.

The previous prime is 22100210971. The next prime is 22100211011. The reversal of 22100211000 is 11200122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44288751 + ... + 44289249.

It is an arithmetic number, because the mean of its divisors is an integer number (120412500).

Almost surely, 222100211000 is an apocalyptic number.

22100211000 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 22100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238400000).

22100211000 is an abundant number, since it is smaller than the sum of its proper divisors (70376589000).

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

22100211000 is a wasteful number, since it uses less digits than its factorization.

22100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100211000 its reverse (11200122), we get a palindrome (22111411122).

The spelling of 22100211000 in words is "twenty-two billion, one hundred million, two hundred eleven thousand".