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22200022312 = 23133161157719
BaseRepresentation
bin10100101011001110…
…010111010100101000
32010022011020222111121
4110223032113110220
5330431201203222
614110515305024
71414065035056
oct245316272450
963264228447
1022200022312
119462374386
1243768ab174
13212a4164a0
14110856b1d6
1589de8e5c7
hex52b397528

22200022312 has 128 divisors (see below), whose sum is σ = 47396966400. Its totient is φ = 9677491200.

The previous prime is 22200022283. The next prime is 22200022321. The reversal of 22200022312 is 21322000222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30875889 + ... + 30876607.

It is an arithmetic number, because the mean of its divisors is an integer number (370288800).

Almost surely, 222200022312 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 22200022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698483200).

22200022312 is an abundant number, since it is smaller than the sum of its proper divisors (25196944088).

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

22200022312 is a wasteful number, since it uses less digits than its factorization.

22200022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

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

Adding to 22200022312 its reverse (21322000222), we get a palindrome (43522022534).

The spelling of 22200022312 in words is "twenty-two billion, two hundred million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 61 62 104 122 124 157 244 248 314 403 488 628 719 793 806 1256 1438 1586 1612 1891 2041 2876 3172 3224 3782 4082 4867 5752 6344 7564 8164 9347 9577 9734 15128 16328 18694 19154 19468 22289 24583 37388 38308 38936 43859 44578 49166 63271 74776 76616 87718 89156 98332 112883 124501 126542 175436 178312 196664 225766 249002 253084 289757 296887 350872 451532 498004 506168 570167 579514 593774 903064 996008 1140334 1159028 1187548 1359629 1467479 2280668 2318056 2375096 2719258 2934958 3499373 3859531 4561336 5438516 5869916 6885863 6998746 7719062 10877032 11739832 13771726 13997492 15438124 17675177 27543452 27994984 30876248 35350354 45491849 55086904 70700708 89516219 90983698 141401416 179032438 181967396 213461753 358064876 363934792 426923506 716129752 853847012 1707694024 2775002789 5550005578 11100011156 22200022312