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220211203312 = 242313121121649
BaseRepresentation
bin1100110100010110011…
…1000100110011110000
3210001101220020012020001
43031011213010303300
512101443032001222
6245055202155344
721624016226002
oct3150547046360
9701356205201
10220211203312
1185433535411
1236818352b54
13179c56a4589
14a930464372
155adca0de27
hex33459c4cf0

220211203312 has 80 divisors (see below), whose sum is σ = 450755078400. Its totient is φ = 104014310400.

The previous prime is 220211203283. The next prime is 220211203337. The reversal of 220211203312 is 213302112022.

It is a self number, because there is not a number n which added to its sum of digits gives 220211203312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10161064 + ... + 10182712.

It is an arithmetic number, because the mean of its divisors is an integer number (5634438480).

Almost surely, 2220211203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225377539200).

220211203312 is an abundant number, since it is smaller than the sum of its proper divisors (230543875088).

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

220211203312 is a wasteful number, since it uses less digits than its factorization.

220211203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22022 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 220211203312 its reverse (213302112022), we get a palindrome (433513315334).

The spelling of 220211203312 in words is "two hundred twenty billion, two hundred eleven million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 131 184 211 262 368 422 524 844 1048 1688 2096 3013 3376 4853 6026 9706 12052 19412 21649 24104 27641 38824 43298 48208 55282 77648 86596 110564 173192 221128 346384 442256 497927 635743 995854 1271486 1991708 2542972 2836019 3983416 4567939 5085944 5672038 7966832 9135878 10171888 11344076 18271756 22688152 36543512 45376304 65228437 73087024 105062597 130456874 210125194 260913748 420250388 521827496 598400009 840500776 1043654992 1196800018 1681001552 2393600036 4787200072 9574400144 13763200207 27526400414 55052800828 110105601656 220211203312