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2122344224 = 2571113591123
BaseRepresentation
bin111111010000000…
…0110011100100000
312110220120020221122
41332200012130200
513321310003344
6550333111412
7103410425330
oct17640063440
95426506848
102122344224
1199a00a6a0
124b2928568
1327a9122b0
14161c250c0
15c64ccaee
hex7e806720

2122344224 has 192 divisors, whose sum is σ = 5710279680. Its totient is φ = 749675520.

The previous prime is 2122344221. The next prime is 2122344233. The reversal of 2122344224 is 4224432212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2122344193 and 2122344202.

It is not an unprimeable number, because it can be changed into a prime (2122344221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889327 + ... + 1890449.

It is an arithmetic number, because the mean of its divisors is an integer number (29741040).

Almost surely, 22122344224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855139840).

2122344224 is an abundant number, since it is smaller than the sum of its proper divisors (3587935456).

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

2122344224 is a wasteful number, since it uses less digits than its factorization.

2122344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 2122344224 is about 46068.9073454103. The cubic root of 2122344224 is about 1285.1049839786.

Adding to 2122344224 its reverse (4224432212), we get a palindrome (6346776436).

The spelling of 2122344224 in words is "two billion, one hundred twenty-two million, three hundred forty-four thousand, two hundred twenty-four".