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2201421024 = 253311231631
BaseRepresentation
bin1000001100110111…
…0000010011100000
312200102100202221000
42003031300103200
514002030433044
61002240032000
7105360525045
oct20315602340
95612322830
102201421024
11a2a710220
12515302600
1329110b3ba
1416c52b1cc
15cd3ecd69
hex833704e0

2201421024 has 96 divisors (see below), whose sum is σ = 7004551680. Its totient is φ = 667094400.

The previous prime is 2201421017. The next prime is 2201421037. The reversal of 2201421024 is 4201241022.

2201421024 is a `hidden beast` number, since 220 + 1 + 421 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201420988 and 2201421006.

It is a congruent number.

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, 106312 + ... + 125319.

It is an arithmetic number, because the mean of its divisors is an integer number (72964080).

Almost surely, 22201421024 is an apocalyptic number.

2201421024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201421024 is an abundant number, since it is smaller than the sum of its proper divisors (4803130656).

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

2201421024 is a wasteful number, since it uses less digits than its factorization.

2201421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231661 (or 231647 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2201421024 is about 46919.3033196359. The cubic root of 2201421024 is about 1300.8714125907.

Adding to 2201421024 its reverse (4201241022), we get a palindrome (6402662046).

The spelling of 2201421024 in words is "two billion, two hundred one million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 231631 463262 694893 926524 1389786 1853048 2084679 2547941 2779572 3706096 4169358 5095882 5559144 6254037 7412192 7643823 8338716 10191764 11118288 12508074 15287646 16677432 20383528 22236576 22931469 25016148 30575292 33354864 40767056 45862938 50032296 61150584 66709728 68794407 81534112 91725876 100064592 122301168 137588814 183451752 200129184 244602336 275177628 366903504 550355256 733807008 1100710512 2201421024