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220212120222 = 232101379319601
BaseRepresentation
bin1100110100010110101…
…0100100101010011110
3210001101221221202222200
43031011222210222132
512101443300321342
6245055233552330
721624030065133
oct3150552445236
9701357852880
10220212120222
1185434001296
12368187156a6
13179c5935a23
14a93062258a
155adcb4094c
hex3345aa4a9e

220212120222 has 48 divisors (see below), whose sum is σ = 483123167280. Its totient is φ = 72485280000.

The previous prime is 220212120209. The next prime is 220212120239. The reversal of 220212120222 is 222021212022.

220212120222 is a `hidden beast` number, since 220 + 212 + 12 + 0 + 222 = 666.

220212120222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220212120195 and 220212120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529222 + ... + 848822.

It is an arithmetic number, because the mean of its divisors is an integer number (10065065985).

Almost surely, 2220212120222 is an apocalyptic number.

220212120222 is an abundant number, since it is smaller than the sum of its proper divisors (262911047058).

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

220212120222 is a wasteful number, since it uses less digits than its factorization.

220212120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320089 (or 320086 counting only the distinct ones).

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

Adding to 220212120222 its reverse (222021212022), we get a palindrome (442233332244).

It can be divided in two parts, 22021212022 and 2, that multiplied together give a palindrome (44042424044).

The spelling of 220212120222 in words is "two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 379 606 758 909 1137 1818 2274 3411 6822 38279 76558 114837 229674 319601 344511 639202 689022 958803 1917606 2876409 5752818 32279701 64559402 96839103 121128779 193678206 242257558 290517309 363386337 581034618 726772674 1090159011 2180318022 12234006679 24468013358 36702020037 73404040074 110106060111 220212120222