Search a number
-
+
22032232032100 = 2252477383898693
BaseRepresentation
bin1010000001001110001110…
…10111010010011101100100
32220000021001010120020102111
411000213013113102131210
510341434002400011400
6114505245003250404
74432530151206013
oct500470727223544
986007033506374
1022032232032100
1170248a966a684
122579bb1b19a04
13c3a827478744
14562519770a7a
152831978d53ba
hex1409c75d2764

22032232032100 has 288 divisors, whose sum is σ = 50661042485760. Its totient is φ = 8309340610560.

The previous prime is 22032232032071. The next prime is 22032232032101. The reversal of 22032232032100 is 123023223022.

It is not an unprimeable number, because it can be changed into a prime (22032232032101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2534475354 + ... + 2534484046.

It is an arithmetic number, because the mean of its divisors is an integer number (175906397520).

Almost surely, 222032232032100 is an apocalyptic number.

22032232032100 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 22032232032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25330521242880).

22032232032100 is an abundant number, since it is smaller than the sum of its proper divisors (28628810453660).

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

22032232032100 is a wasteful number, since it uses less digits than its factorization.

22032232032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22032232032100 its reverse (123023223022), we get a palindrome (22155255255122).

The spelling of 22032232032100 in words is "twenty-two trillion, thirty-two billion, two hundred thirty-two million, thirty-two thousand, one hundred".