Search a number
-
+
22002210123000 = 2335312782769829
BaseRepresentation
bin1010000000010110010011…
…11010110010110011111000
32212220101112212001020102020
411000023021322302303320
510340441011242414000
6114443401545434440
74430415164200152
oct500131172626370
985811485036366
1022002210123000
1170130a3021a58
12257421379ba20
13c37a516b22a3
14560cac461ad2
152824dbdceba0
hex1402c9eb2cf8

22002210123000 has 256 divisors, whose sum is σ = 69272075059200. Its totient is φ = 5813935142400.

The previous prime is 22002210122951. The next prime is 22002210123007. The reversal of 22002210123000 is 32101220022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002210123007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315052086 + ... + 315121914.

It is an arithmetic number, because the mean of its divisors is an integer number (270594043200).

Almost surely, 222002210123000 is an apocalyptic number.

22002210123000 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 22002210123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34636037529600).

22002210123000 is an abundant number, since it is smaller than the sum of its proper divisors (47269864936200).

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

22002210123000 is a wasteful number, since it uses less digits than its factorization.

22002210123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70807 (or 70793 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22002210123000 its reverse (32101220022), we get a palindrome (22034311343022).

The spelling of 22002210123000 in words is "twenty-two trillion, two billion, two hundred ten million, one hundred twenty-three thousand".