Search a number
-
+
22212022111000 = 23531011792335273
BaseRepresentation
bin1010000110011101000111…
…01100000000101100011000
32220122110010000022120001121
411003032203230000230120
510402410210130023000
6115124021224455024
74451523420521161
oct503164354005430
986573100276047
1022212022111000
11709407a462a47
1225a8a0931a474
13c5177a771007
1456b0d3724768
15287bbb974b1a
hex1433a3b00b18

22212022111000 has 256 divisors, whose sum is σ = 53020585238400. Its totient is φ = 8708500480000.

The previous prime is 22212022110991. The next prime is 22212022111051. The reversal of 22212022111000 is 11122021222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4212404364 + ... + 4212409636.

Almost surely, 222212022111000 is an apocalyptic number.

22212022111000 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 22212022111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510292619200).

22212022111000 is an abundant number, since it is smaller than the sum of its proper divisors (30808563127400).

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

22212022111000 is a wasteful number, since it uses less digits than its factorization.

22212022111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22212022111000 its reverse (11122021222), we get a palindrome (22223144132222).

The spelling of 22212022111000 in words is "twenty-two trillion, two hundred twelve billion, twenty-two million, one hundred eleven thousand".