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2022202424000 = 26531142615393
BaseRepresentation
bin11101011011010100101…
…010000011101011000000
321011022122202121211222002
4131123110222003223000
5231112432310032000
64144553104003132
7266046026665133
oct35332452035300
97138582554862
102022202424000
1170a67a605630
12287abb6004a8
1311890130ba75
146dc3748421a
15379072938d5
hex1d6d4a83ac0

2022202424000 has 224 divisors, whose sum is σ = 5465551021632. Its totient is φ = 735037440000.

The previous prime is 2022202423993. The next prime is 2022202424027. The reversal of 2022202424000 is 4242022202.

It is a super-4 number, since 4×20222024240004 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 374965304 + ... + 374970696.

Almost surely, 22022202424000 is an apocalyptic number.

2022202424000 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 2022202424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732775510816).

2022202424000 is an abundant number, since it is smaller than the sum of its proper divisors (3443348597632).

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

2022202424000 is a wasteful number, since it uses less digits than its factorization.

2022202424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9672 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2022202424000 its reverse (4242022202), we get a palindrome (2026444446202).

The spelling of 2022202424000 in words is "two trillion, twenty-two billion, two hundred two million, four hundred twenty-four thousand".