Search a number
-
+
22220102199960 = 23325753535131091
BaseRepresentation
bin1010000110101100001010…
…10011000110101010011000
32220200012222010102121100200
411003112011103012222120
510403023232130344320
6115131435105102200
74452230563244640
oct503260523065230
986605863377320
1022220102199960
117097546462415
1225aa4a3327960
13c52467775b42
1456b65c8b9520
15287ee0ee0290
hex1435854c6a98

22220102199960 has 384 divisors, whose sum is σ = 84107431848960. Its totient is φ = 4981961088000.

The previous prime is 22220102199941. The next prime is 22220102199961. The reversal of 22220102199960 is 6999120102222.

It is a happy number.

22220102199960 is a `hidden beast` number, since 222 + 201 + 0 + 219 + 9 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×222201021999603 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220102199961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714664015 + ... + 714695105.

It is an arithmetic number, because the mean of its divisors is an integer number (219029770440).

Almost surely, 222220102199960 is an apocalyptic number.

22220102199960 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 22220102199960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42053715924480).

22220102199960 is an abundant number, since it is smaller than the sum of its proper divisors (61887329649000).

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

22220102199960 is a wasteful number, since it uses less digits than its factorization.

22220102199960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36519 (or 36512 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 22220102199960 in words is "twenty-two trillion, two hundred twenty billion, one hundred two million, one hundred ninety-nine thousand, nine hundred sixty".