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10022201202222 = 23211293659262147
BaseRepresentation
bin1001000111010111100110…
…1111100001011000101110
31022111010001102201011212100
42101311321233201120232
52303200432001432342
633152045145515530
72053036326425346
oct221657157413056
938433042634770
1010022201202222
113214434333930
12115a452aa2ba6
13579121895a81
142691118c5d26
15125a79066e4c
hex91d79be162e

10022201202222 has 96 divisors (see below), whose sum is σ = 23805848626560. Its totient is φ = 3022061031360.

The previous prime is 10022201202151. The next prime is 10022201202253. The reversal of 10022201202222 is 22220210222001.

10022201202222 is a `hidden beast` number, since 100 + 2 + 220 + 120 + 2 + 222 = 666.

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 = 10022201202195 and 10022201202204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38100153 + ... + 38362299.

It is an arithmetic number, because the mean of its divisors is an integer number (247977589860).

Almost surely, 210022201202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022201202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902924313280).

10022201202222 is an abundant number, since it is smaller than the sum of its proper divisors (13783647424338).

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

10022201202222 is a wasteful number, since it uses less digits than its factorization.

10022201202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263118 (or 263115 counting only the distinct ones).

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

Adding to 10022201202222 its reverse (22220210222001), we get a palindrome (32242411424223).

The spelling of 10022201202222 in words is "ten trillion, twenty-two billion, two hundred one million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 659 879 1318 1758 1977 2637 3223 3954 5274 5931 6446 7249 9669 11862 14498 19338 21747 29007 43494 58014 65241 130482 193087 262147 386174 524294 579261 786441 1158522 1572882 1737783 2123957 2359323 2883617 3475566 4247914 4718646 5767234 6371871 8650851 12743742 17301702 19115613 25952553 38231226 51905106 76809071 153618142 172754873 230427213 345509746 460854426 518264619 691281639 844899781 1036529238 1382563278 1554793857 1689799562 1900303603 2534699343 3109587714 3800607206 5069398686 5700910809 7604098029 11401821618 15208196058 17102732427 34205464854 50617177789 101234355578 151851533367 303703066734 455554600101 556788955679 911109200202 1113577911358 1670366867037 3340733734074 5011100601111 10022201202222