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313221222 = 23323416151
BaseRepresentation
bin10010101010110…
…110000001100110
3210211101021202000
4102222312001212
51120141034342
651025230130
710522223256
oct2252660146
9724337660
10313221222
11150894816
1288a92346
134cb79902
142d855966
151c77144c
hex12ab6066

313221222 has 64 divisors (see below), whose sum is σ = 744145920. Its totient is φ = 97416000.

The previous prime is 313221203. The next prime is 313221253. The reversal of 313221222 is 222122313.

It is a super-2 number, since 2×3132212222 = 196215067822346568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313221195 and 313221204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47847 + ... + 53997.

It is an arithmetic number, because the mean of its divisors is an integer number (11627280).

Almost surely, 2313221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372072960).

313221222 is an abundant number, since it is smaller than the sum of its proper divisors (430924698).

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

313221222 is a wasteful number, since it uses less digits than its factorization.

313221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6220 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 313221222 is about 17698.0570119999. The cubic root of 313221222 is about 679.1260557665.

Adding to 313221222 its reverse (222122313), we get a palindrome (535343535).

The spelling of 313221222 in words is "three hundred thirteen million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 207 246 369 414 621 738 943 1107 1242 1886 2214 2829 5658 6151 8487 12302 16974 18453 25461 36906 50922 55359 110718 141473 166077 252191 282946 332154 424419 504382 756573 848838 1273257 1513146 2269719 2546514 3819771 4539438 5800393 6809157 7639542 11600786 13618314 17401179 34802358 52203537 104407074 156610611 313221222