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313223094 = 2321934359
BaseRepresentation
bin10010101010110…
…110011110110110
3210211101101022100
4102222312132312
51120141114334
651025242530
710522231602
oct2252663666
9724341270
10313223094
11150896168
1288a93446
134cb7a712
142d856502
151c771c99
hex12ab67b6

313223094 has 96 divisors (see below), whose sum is σ = 745430400. Its totient is φ = 94974768.

The previous prime is 313223077. The next prime is 313223111. The reversal of 313223094 is 490322313.

It is a happy number.

313223094 is a `hidden beast` number, since 31 + 322 + 309 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (313223077) and next prime (313223111).

It is a super-2 number, since 2×3132230942 = 196217413229865672, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 5308837 + ... + 5308895.

It is an arithmetic number, because the mean of its divisors is an integer number (7764900).

Almost surely, 2313223094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313223094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372715200).

313223094 is an abundant number, since it is smaller than the sum of its proper divisors (432207306).

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

313223094 is a wasteful number, since it uses less digits than its factorization.

313223094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 313223094 is about 17698.1098990824. The cubic root of 313223094 is about 679.1274087202.

It can be divided in two parts, 31322309 and 4, that added together give a palindrome (31322313).

The spelling of 313223094 in words is "three hundred thirteen million, two hundred twenty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 18 19 38 43 57 59 86 114 118 129 171 177 258 342 354 361 387 531 722 774 817 1062 1083 1121 1634 2166 2242 2451 2537 3249 3363 4902 5074 6498 6726 6859 7353 7611 10089 13718 14706 15222 15523 20178 20577 21299 22833 31046 41154 42598 45666 46569 48203 61731 63897 93138 96406 123462 127794 139707 144609 191691 279414 289218 294937 383382 404681 433827 589874 809362 867654 884811 915857 1214043 1769622 1831714 2428086 2654433 2747571 3642129 5308866 5495142 7284258 8242713 16485426 17401283 34802566 52203849 104407698 156611547 313223094