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220313213334 = 2351399324031
BaseRepresentation
bin1100110100101110110…
…0001101100110010110
3210001200000011211200000
43031023230031212112
512102200140311314
6245113244432130
721626365262214
oct3151354154626
9701600154600
10220313213334
118548607a015
1236846548646
1317a1086cc36
14a93dc19cb4
155ae695e209
hex334bb0d996

220313213334 has 48 divisors (see below), whose sum is σ = 495380121600. Its totient is φ = 73385018280.

The previous prime is 220313213333. The next prime is 220313213347. The reversal of 220313213334 is 433312313022.

220313213334 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 1 + 321 + 3 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220313213298 and 220313213307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220313213333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517899 + ... + 841929.

It is an arithmetic number, because the mean of its divisors is an integer number (10320419200).

Almost surely, 2220313213334 is an apocalyptic number.

220313213334 is an abundant number, since it is smaller than the sum of its proper divisors (275066908266).

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

220313213334 is a wasteful number, since it uses less digits than its factorization.

220313213334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325447 (or 325435 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 220313213334 its reverse (433312313022), we get a palindrome (653625526356).

The spelling of 220313213334 in words is "two hundred twenty billion, three hundred thirteen million, two hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1399 2798 4197 8394 12591 25182 37773 75546 113319 226638 324031 339957 648062 679914 972093 1944186 2916279 5832558 8748837 17497674 26246511 52493022 78739533 157479066 453319369 906638738 1359958107 2719916214 4079874321 8159748642 12239622963 24479245926 36718868889 73437737778 110156606667 220313213334