Search a number
-
+
22221010110000 = 243541359965711
BaseRepresentation
bin1010000110101101110110…
…11010100000011000110000
32220200022022101211012210110
411003112323122200120300
510403032112042010000
6115132105140501320
74452262226326662
oct503267332403060
986608271735713
1022221010110000
1170979719a7699
1225aa6b73aa840
13c525808aba10
1456b7072d4532
15288045a80850
hex1435bb6a0630

22221010110000 has 400 divisors, whose sum is σ = 78559666859520. Its totient is φ = 5377073280000.

The previous prime is 22221010109939. The next prime is 22221010110023. The reversal of 22221010110000 is 1101012222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22527145 + ... + 23492855.

Almost surely, 222221010110000 is an apocalyptic number.

22221010110000 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 22221010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279833429760).

22221010110000 is an abundant number, since it is smaller than the sum of its proper divisors (56338656749520).

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

22221010110000 is a wasteful number, since it uses less digits than its factorization.

22221010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965814 (or 965793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22221010110000 its reverse (1101012222), we get a palindrome (22222111122222).

The spelling of 22221010110000 in words is "twenty-two trillion, two hundred twenty-one billion, ten million, one hundred ten thousand".