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2122203424 = 251143149941
BaseRepresentation
bin111111001111110…
…0100000100100000
312110220022002210211
41332133210010200
513321241002144
6550330103504
7103406300665
oct17637440440
95426262724
102122203424
11999a23930
124b287ab94
1327a893193
14161bc9a6c
15c64a1034
hex7e7e4120

2122203424 has 96 divisors (see below), whose sum is σ = 4700203200. Its totient is φ = 934886400.

The previous prime is 2122203407. The next prime is 2122203431. The reversal of 2122203424 is 4243022212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2122203395 and 2122203404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254794 + ... + 2255734.

It is an arithmetic number, because the mean of its divisors is an integer number (48960450).

Almost surely, 22122203424 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 2122203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350101600).

2122203424 is an abundant number, since it is smaller than the sum of its proper divisors (2577999776).

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

2122203424 is a wasteful number, since it uses less digits than its factorization.

2122203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2122203424 is about 46067.3791744223. The cubic root of 2122203424 is about 1285.0765646517.

Adding to 2122203424 its reverse (4243022212), we get a palindrome (6365225636).

The spelling of 2122203424 in words is "two billion, one hundred twenty-two million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 149 172 176 298 344 352 473 596 688 941 946 1192 1376 1639 1882 1892 2384 3278 3764 3784 4768 6407 6556 7528 7568 10351 12814 13112 15056 15136 20702 25628 26224 30112 40463 41404 51256 52448 70477 80926 82808 102512 140209 140954 161852 165616 205024 280418 281908 323704 331232 445093 560836 563816 647408 890186 1121672 1127632 1294816 1542299 1780372 2243344 2255264 3084598 3560744 4486688 6028987 6169196 7121488 12057974 12338392 14242976 24115948 24676784 48231896 49353568 66318857 96463792 132637714 192927584 265275428 530550856 1061101712 2122203424