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22220366868 = 223271731167317
BaseRepresentation
bin10100101100011011…
…111110010000010100
32010100120112120222200
4110230123332100110
5331001403214433
614112523324500
71414433000460
oct245433762024
963316476880
1022220366868
1194728aa567
124381680730
1321316ba69b
14110b1454a0
158a0b5c613
hex52c6fe414

22220366868 has 144 divisors (see below), whose sum is σ = 70161122304. Its totient is φ = 5782440960.

The previous prime is 22220366821. The next prime is 22220366869. The reversal of 22220366868 is 86866302222.

22220366868 is a `hidden beast` number, since 2 + 2 + 220 + 366 + 8 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220366869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49146 + ... + 216462.

It is an arithmetic number, because the mean of its divisors is an integer number (487230016).

Almost surely, 222220366868 is an apocalyptic number.

22220366868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220366868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080561152).

22220366868 is an abundant number, since it is smaller than the sum of its proper divisors (47940755436).

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

22220366868 is a wasteful number, since it uses less digits than its factorization.

22220366868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167382 (or 167377 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22220366868 in words is "twenty-two billion, two hundred twenty million, three hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 33201 44268 66402 132804 167317 334634 501951 669268 1003902 1171219 1505853 2007804 2342438 2844389 3011706 3513657 4684876 5186827 5688778 6023412 7027314 8533167 10373654 10540971 11377556 14054628 15560481 17066334 19910723 20747308 21081942 25599501 31120962 34132668 36307789 39821446 42163884 46681443 51199002 59732169 62241924 72615578 79642892 88176059 93362886 102398004 108923367 119464338 145231156 176352118 179196507 186725772 217846734 238928676 264528177 326770101 352704236 358393014 435693468 529056354 617232413 653540202 716786028 793584531 1058112708 1234464826 1307080404 1587169062 1851697239 2468929652 3174338124 3703394478 5555091717 7406788956 11110183434 22220366868