Search a number
-
+
22150161720 = 23335294316447
BaseRepresentation
bin10100101000010000…
…001010010100111000
32010011200102210122000
4110220100022110320
5330330420133340
614101534501000
71412621160651
oct245020122470
963150383560
1022150161720
119437209385
124362064760
13211cca968b
141101aac528
158998e0d30
hex52840a538

22150161720 has 256 divisors, whose sum is σ = 78160896000. Its totient is φ = 5570062848.

The previous prime is 22150161701. The next prime is 22150161721. The reversal of 22150161720 is 2716105122.

22150161720 is a `hidden beast` number, since 2 + 21 + 5 + 0 + 1 + 617 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22150161721) 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, 1338537 + ... + 1354983.

It is an arithmetic number, because the mean of its divisors is an integer number (305316000).

Almost surely, 222150161720 is an apocalyptic number.

22150161720 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 22150161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39080448000).

22150161720 is an abundant number, since it is smaller than the sum of its proper divisors (56010734280).

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

22150161720 is a wasteful number, since it uses less digits than its factorization.

22150161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16539 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 22150161720 its reverse (2716105122), we get a palindrome (24866266842).

The spelling of 22150161720 in words is "twenty-two billion, one hundred fifty million, one hundred sixty-one thousand, seven hundred twenty".