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314223520 = 25513197951
BaseRepresentation
bin10010101110101…
…010101110100000
3210220021012122011
4102232222232200
51120420123040
651102522304
710533566362
oct2256525640
9726235564
10314223520
11151409866
1289296394
135013aba0
142da36d32
151c8bd3ea
hex12baaba0

314223520 has 96 divisors (see below), whose sum is σ = 841639680. Its totient is φ = 109900800.

The previous prime is 314223509. The next prime is 314223523. The reversal of 314223520 is 25322413.

It is a junction number, because it is equal to n+sod(n) for n = 314223491 and 314223500.

It is not an unprimeable number, because it can be changed into a prime (314223523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35545 + ... + 43495.

It is an arithmetic number, because the mean of its divisors is an integer number (8767080).

Almost surely, 2314223520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420819840).

314223520 is an abundant number, since it is smaller than the sum of its proper divisors (527416160).

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

314223520 is a wasteful number, since it uses less digits than its factorization.

314223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 314223520 is about 17726.3510063408. The cubic root of 314223520 is about 679.8496784216.

Adding to 314223520 its reverse (25322413), we get a palindrome (339545933).

It can be divided in two parts, 3142 and 23520, that added together give a palindrome (26662).

The spelling of 314223520 in words is "three hundred fourteen million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3952 4940 7904 7951 9880 15902 19760 31804 39520 39755 63608 79510 103363 127216 151069 159020 206726 254432 302138 318040 413452 516815 604276 636080 755345 826904 1033630 1208552 1272160 1510690 1653808 1963897 2067260 2417104 3021380 3307616 3927794 4134520 4834208 6042760 7855588 8269040 9819485 12085520 15711176 16538080 19638970 24171040 31422352 39277940 62844704 78555880 157111760 314223520