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220012211010222 = 233107205318547283
BaseRepresentation
bin110010000001100110010101…
…101011101111101010101110
31001211222221222021021011012000
4302001212111223233222232
5212314140002004311342
62055532114151553130
764225233455245341
oct6201462553575256
91054887867234160
10220012211010222
1164114722455074
1220813a1038b7a6
13959c0a7348047
143c4890d90a458
151a68050e7744c
hexc81995aefaae

220012211010222 has 64 divisors (see below), whose sum is σ = 493725732514560. Its totient is φ = 72616615242912.

The previous prime is 220012211010217. The next prime is 220012211010269. The reversal of 220012211010222 is 222010112210022.

It is a happy number.

220012211010222 is a `hidden beast` number, since 2 + 200 + 1 + 221 + 10 + 10 + 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 = 220012211010195 and 220012211010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588593 + ... + 21135875.

It is an arithmetic number, because the mean of its divisors is an integer number (7714464570540).

Almost surely, 2220012211010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012211010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246862866257280).

220012211010222 is an abundant number, since it is smaller than the sum of its proper divisors (273713521504338).

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

220012211010222 is a wasteful number, since it uses less digits than its factorization.

220012211010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18549454 (or 18549448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220012211010222 its reverse (222010112210022), we get a palindrome (442022323220244).

The spelling of 220012211010222 in words is "two hundred twenty trillion, twelve billion, two hundred eleven million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2053 2889 4106 5778 6159 12318 18477 36954 55431 110862 219671 439342 659013 1318026 1977039 3954078 5931117 11862234 18547283 37094566 55641849 111283698 166925547 333851094 500776641 1001553282 1984559281 3969118562 5953677843 11907355686 17861033529 35722067058 38077571999 53583100587 76155143998 107166201174 114232715997 228465431994 342698147991 685396295982 1028094443973 2056188887946 4074300203893 8148600407786 12222900611679 24445801223358 36668701835037 73337403670074 110006105505111 220012211010222