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2642223614220 = 2234553139221393
BaseRepresentation
bin100110011100110000110…
…011001100100100001100
3100100121001002212202020000
4212130300303030210030
5321242233221123340
65341453141524300
7361615523104131
oct46346063144414
910317032782200
102642223614220
11929619390723
123680b7413690
13162211b52c98
1491c54768588
1548ae4b65d30
hex26730ccc90c

2642223614220 has 240 divisors, whose sum is σ = 8505939768480. Its totient is φ = 686322284544.

The previous prime is 2642223614123. The next prime is 2642223614227. The reversal of 2642223614220 is 224163222462.

2642223614220 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 223 + 6 + 1 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2642223614227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11823844 + ... + 12045236.

It is an arithmetic number, because the mean of its divisors is an integer number (35441415702).

Almost surely, 22642223614220 is an apocalyptic number.

2642223614220 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 2642223614220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252969884240).

2642223614220 is an abundant number, since it is smaller than the sum of its proper divisors (5863716154260).

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

2642223614220 is a wasteful number, since it uses less digits than its factorization.

2642223614220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221606 (or 221595 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 2642223614220 its reverse (224163222462), we get a palindrome (2866386836682).

The spelling of 2642223614220 in words is "two trillion, six hundred forty-two billion, two hundred twenty-three million, six hundred fourteen thousand, two hundred twenty".