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3220212122220 = 2235374073356137
BaseRepresentation
bin101110110111000011100…
…110011000001001101100
3102101211221010020011011210
4232313003212120021230
5410224443300402340
610503202305314420
7451436600261112
oct56670346301154
912354833204153
103220212122220
111031758879515
12440122635a10
131a48844667c2
14b1c05519ab2
1558b72385180
hex2edc399826c

3220212122220 has 96 divisors (see below), whose sum is σ = 9262585257408. Its totient is φ = 835307016192.

The previous prime is 3220212122207. The next prime is 3220212122227. The reversal of 3220212122220 is 222212120223.

3220212122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32202121222202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3220212122227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8863992 + ... + 9220128.

It is an arithmetic number, because the mean of its divisors is an integer number (96485263098).

Almost surely, 23220212122220 is an apocalyptic number.

3220212122220 is a gapful number since it is divisible by the number (30) 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 3220212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631292628704).

3220212122220 is an abundant number, since it is smaller than the sum of its proper divisors (6042373135188).

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

3220212122220 is a wasteful number, since it uses less digits than its factorization.

3220212122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360259 (or 360257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 3220212122220 its reverse (222212120223), we get a palindrome (3442424242443).

The spelling of 3220212122220 in words is "three trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4073 8146 12219 16292 20365 24438 40730 48876 61095 81460 122190 150701 244380 301402 356137 452103 602804 712274 753505 904206 1068411 1424548 1507010 1780685 1808412 2136822 2260515 3014020 3561370 4273644 4521030 5342055 7122740 9042060 10684110 13177069 21368220 26354138 39531207 52708276 65885345 79062414 131770690 158124828 197656035 263541380 395312070 790624140 1450546001 2901092002 4351638003 5802184004 7252730005 8703276006 14505460010 17406552012 21758190015 29010920020 43516380030 53670202037 87032760060 107340404074 161010606111 214680808148 268351010185 322021212222 536702020370 644042424444 805053030555 1073404040740 1610106061110 3220212122220