Search a number
-
+
22021020000 = 253254717477
BaseRepresentation
bin10100100000100011…
…100001100101100000
32002211200102201111100
4110200203201211200
5330044340120000
614041042514400
71406462403330
oct244043414540
962750381440
1022021020000
119380323291
124326965a00
1320cc301765
1410cc8930c0
1588d3d1a00
hex5208e1960

22021020000 has 360 divisors, whose sum is σ = 89436883536. Its totient is φ = 5033088000.

The previous prime is 22021019983. The next prime is 22021020017. The reversal of 22021020000 is 2012022.

It is an interprime number because it is at equal distance from previous prime (22021019983) and next prime (22021020017).

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 (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 59 ways as a sum of consecutive naturals, for example, 1251262 + ... + 1268738.

Almost surely, 222021020000 is an apocalyptic number.

22021020000 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 22021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44718441768).

22021020000 is an abundant number, since it is smaller than the sum of its proper divisors (67415863536).

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

22021020000 is a wasteful number, since it uses less digits than its factorization.

22021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22021020000 its reverse (2012022), we get a palindrome (22023032022).

The spelling of 22021020000 in words is "twenty-two billion, twenty-one million, twenty thousand".