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220331220312 = 233710333126923
BaseRepresentation
bin1100110100110011000…
…0111001110101011000
3210001201021001200121010
43031030300321311120
512102214243022222
6245115130413520
721630004320540
oct3151460716530
9701637050533
10220331220312
1185495258a15
12368505912a0
1317a14506158
14a942386320
155ae831980c
hex334cc39d58

220331220312 has 64 divisors (see below), whose sum is σ = 629583655680. Its totient is φ = 62945188992.

The previous prime is 220331220287. The next prime is 220331220341. The reversal of 220331220312 is 213022133022.

It is a happy number.

220331220312 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 (21).

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 15 ways as a sum of consecutive naturals, for example, 1672483 + ... + 1799405.

It is an arithmetic number, because the mean of its divisors is an integer number (9837244620).

Almost surely, 2220331220312 is an apocalyptic number.

It is an amenable number.

220331220312 is an abundant number, since it is smaller than the sum of its proper divisors (409252435368).

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

220331220312 is a wasteful number, since it uses less digits than its factorization.

220331220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137272 (or 137268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220331220312 its reverse (213022133022), we get a palindrome (433353353334).

The spelling of 220331220312 in words is "two hundred twenty billion, three hundred thirty-one million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 10333 20666 30999 41332 61998 72331 82664 123996 126923 144662 216993 247992 253846 289324 380769 433986 507692 578648 761538 867972 888461 1015384 1523076 1735944 1776922 2665383 3046152 3553844 5330766 7107688 10661532 21323064 1311495359 2622990718 3934486077 5245981436 7868972154 9180467513 10491962872 15737944308 18360935026 27541402539 31475888616 36721870052 55082805078 73443740104 110165610156 220331220312