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220331133022 = 271113110055511
BaseRepresentation
bin1100110100110011000…
…0100100100001011110
3210001201020220020212011
43031030300210201132
512102214232224042
6245115124501434
721630003505210
oct3151460444136
9701636806764
10220331133022
11854951a9380
123685054a87a
1317a144a54c0
14a9423625b0
155ae82eda17
hex334cc2485e

220331133022 has 32 divisors (see below), whose sum is σ = 443743824384. Its totient is φ = 79239967200.

The previous prime is 220331132941. The next prime is 220331133031.

220331133022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220331132984 and 220331133002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55025754 + ... + 55029757.

It is an arithmetic number, because the mean of its divisors is an integer number (13866994512).

Almost surely, 2220331133022 is an apocalyptic number.

220331133022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220331133022 is an abundant number, since it is smaller than the sum of its proper divisors (223412691362).

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

220331133022 is a wasteful number, since it uses less digits than its factorization.

220331133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110055544.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 220331 and 133022, that added together give a palindrome (353353).

The spelling of 220331133022 in words is "two hundred twenty billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 110055511 220111022 770388577 1210610621 1430721643 1540777154 2421221242 2861443286 8474274347 10015051501 15737938073 16948548694 20030103002 31475876146 110165566511 220331133022