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2122430200 = 2352111915051
BaseRepresentation
bin111111010000001…
…1011011011111000
312110220201121212221
41332200123123320
513321320231300
6550335013424
7103411234102
oct17640333370
95426647787
102122430200
1199a069250
124b296a274
1327a942477
14161c48572
15c64e831a
hex7e81b6f8

2122430200 has 96 divisors (see below), whose sum is σ = 5412510720. Its totient is φ = 767600000.

The previous prime is 2122430197. The next prime is 2122430201. The reversal of 2122430200 is 20342212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122430201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417675 + ... + 422725.

It is an arithmetic number, because the mean of its divisors is an integer number (56380320).

Almost surely, 22122430200 is an apocalyptic number.

2122430200 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 2122430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706255360).

2122430200 is an abundant number, since it is smaller than the sum of its proper divisors (3290080520).

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

2122430200 is a wasteful number, since it uses less digits than its factorization.

2122430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2122430200 is about 46069.8404598931. The cubic root of 2122430200 is about 1285.1223369121.

Adding to 2122430200 its reverse (20342212), we get a palindrome (2142772412).

The spelling of 2122430200 in words is "two billion, one hundred twenty-two million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 191 200 220 275 382 440 550 764 955 1100 1528 1910 2101 2200 3820 4202 4775 5051 7640 8404 9550 10102 10505 16808 19100 20204 21010 25255 38200 40408 42020 50510 52525 55561 84040 101020 105050 111122 126275 202040 210100 222244 252550 277805 420200 444488 505100 555610 964741 1010200 1111220 1389025 1929482 2222440 2778050 3858964 4823705 5556100 7717928 9647410 10612151 11112200 19294820 21224302 24118525 38589640 42448604 48237050 53060755 84897208 96474100 106121510 192948200 212243020 265303775 424486040 530607550 1061215100 2122430200