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2022230133000 = 2332537115949459
BaseRepresentation
bin11101011011010110010…
…011110000100100001000
321011022201200202121120100
4131123112103300210020
5231113011403224000
64144555533525400
7266046514342320
oct35332623604410
97138650677510
102022230133000
1170a694210830
12287b08943860
13118906c9101c
146dc3b018280
1537909918a00
hex1d6d64f0908

2022230133000 has 768 divisors, whose sum is σ = 8666341632000. Its totient is φ = 413073216000.

The previous prime is 2022230132969. The next prime is 2022230133013. The reversal of 2022230133000 is 3310322202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 40862271 + ... + 40911729.

It is an arithmetic number, because the mean of its divisors is an integer number (11284299000).

Almost surely, 22022230133000 is an apocalyptic number.

2022230133000 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 2022230133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333170816000).

2022230133000 is an abundant number, since it is smaller than the sum of its proper divisors (6644111499000).

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

2022230133000 is a wasteful number, since it uses less digits than its factorization.

2022230133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49563 (or 49546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2022230133000 its reverse (3310322202), we get a palindrome (2025540455202).

The spelling of 2022230133000 in words is "two trillion, twenty-two billion, two hundred thirty million, one hundred thirty-three thousand".