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2122000232 = 2311210321283
BaseRepresentation
bin111111001111011…
…0010011101101000
312110212220210002012
41332132302131220
513321213001412
6550321455052
7103404463412
oct17636623550
95425823065
102122000232
119998a5200
124b27a1488
1327a821851
14161b759b2
15c6460c22
hex7e7b2768

2122000232 has 48 divisors (see below), whose sum is σ = 4416004320. Its totient is φ = 955136160.

The previous prime is 2122000193. The next prime is 2122000241. The reversal of 2122000232 is 2320002212.

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 11 ways as a sum of consecutive naturals, for example, 89063 + ... + 110345.

It is an arithmetic number, because the mean of its divisors is an integer number (92000090).

Almost surely, 22122000232 is an apocalyptic number.

2122000232 is a gapful number since it is divisible by the number (22) 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 2122000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208002160).

2122000232 is an abundant number, since it is smaller than the sum of its proper divisors (2294004088).

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

2122000232 is a wasteful number, since it uses less digits than its factorization.

2122000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21414 (or 21399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2122000232 is about 46065.1737432955. The cubic root of 2122000232 is about 1285.0355497945.

Adding to 2122000232 its reverse (2320002212), we get a palindrome (4442002444).

The spelling of 2122000232 in words is "two billion, one hundred twenty-two million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 103 121 206 242 412 484 824 968 1133 2266 4532 9064 12463 21283 24926 42566 49852 85132 99704 170264 234113 468226 936452 1872904 2192149 2575243 4384298 5150486 8768596 10300972 17537192 20601944 24113639 48227278 96454556 192909112 265250029 530500058 1061000116 2122000232