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314223102 = 232192343929
BaseRepresentation
bin10010101110101…
…010100111111110
3210220021012001200
4102232222213332
51120420114402
651102520330
710533565224
oct2256524776
9726235050
10314223102
11151409516
12892960a6
135013a93b
142da36b14
151c8bd21c
hex12baa9fe

314223102 has 96 divisors (see below), whose sum is σ = 766022400. Its totient is φ = 92606976.

The previous prime is 314223089. The next prime is 314223113. The reversal of 314223102 is 201322413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337774 + ... + 338702.

It is an arithmetic number, because the mean of its divisors is an integer number (7979400).

Almost surely, 2314223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

314223102 is an abundant number, since it is smaller than the sum of its proper divisors (451799298).

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

314223102 is a wasteful number, since it uses less digits than its factorization.

314223102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1019 counting only the distinct ones).

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

The square root of 314223102 is about 17726.3392159803. The cubic root of 314223102 is about 679.8493769617.

Adding to 314223102 its reverse (201322413), we get a palindrome (515545515).

It can be divided in two parts, 3142 and 23102, that added together give a square (26244 = 1622).

The spelling of 314223102 in words is "three hundred fourteen million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 23 38 43 46 57 69 86 114 129 138 171 207 258 342 387 414 437 774 817 874 929 989 1311 1634 1858 1978 2451 2622 2787 2967 3933 4902 5574 5934 7353 7866 8361 8901 14706 16722 17651 17802 18791 21367 35302 37582 39947 42734 52953 56373 64101 79894 105906 112746 119841 128202 158859 169119 192303 239682 317718 338238 359523 384606 405973 719046 758993 811946 918781 1217919 1517986 1837562 2276979 2435838 2756343 3653757 4553958 5512686 6830937 7307514 8269029 13661874 16538058 17456839 34913678 52370517 104741034 157111551 314223102