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2321000022 = 23111371971303
BaseRepresentation
bin1000101001010111…
…1010011001010110
312222202101000110210
42022111322121112
514223134000042
61022151030250
7111342113625
oct21225723126
95882330423
102321000022
11a91164740
1254936b386
132acb187c3
141803776bc
15d8b6da9c
hex8a57a656

2321000022 has 64 divisors (see below), whose sum is σ = 5130791424. Its totient is φ = 694122240.

The previous prime is 2320999963. The next prime is 2321000053. The reversal of 2321000022 is 2200001232.

2321000022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23210000222 = 10774082204248000968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2320999971 and 2321000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780623 + ... + 1781925.

It is an arithmetic number, because the mean of its divisors is an integer number (80168616).

Almost surely, 22321000022 is an apocalyptic number.

2321000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565395712).

2321000022 is an abundant number, since it is smaller than the sum of its proper divisors (2809791402).

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

2321000022 is a wasteful number, since it uses less digits than its factorization.

2321000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2321000022 is about 48176.7581101095. The cubic root of 2321000022 is about 1324.0113706608.

Adding to 2321000022 its reverse (2200001232), we get a palindrome (4521001254).

The spelling of 2321000022 in words is "two billion, three hundred twenty-one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 137 197 274 394 411 591 822 1182 1303 1507 2167 2606 3014 3909 4334 4521 6501 7818 9042 13002 14333 26989 28666 42999 53978 80967 85998 161934 178511 256691 296879 357022 513382 535533 593758 770073 890637 1071066 1540146 1781274 1963621 2823601 3927242 5647202 5890863 8470803 11781726 16941606 35166667 70333334 105500001 211000002 386833337 773666674 1160500011 2321000022