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314132550 = 235210919213
BaseRepresentation
bin10010101110010…
…100100001000110
3210220002120211220
4102232110201012
51120404220200
651100541210
710533040224
oct2256244106
9726076756
10314132550
11151357486
1289251806
1350108664
142da11b14
151c8a14a0
hex12b94846

314132550 has 48 divisors (see below), whose sum is σ = 786236880. Its totient is φ = 82995840.

The previous prime is 314132527. The next prime is 314132557. The reversal of 314132550 is 55231413.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314132550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314132557) 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, 6744 + ... + 25956.

It is an arithmetic number, because the mean of its divisors is an integer number (16379935).

Almost surely, 2314132550 is an apocalyptic number.

314132550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314132550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393118440).

314132550 is an abundant number, since it is smaller than the sum of its proper divisors (472104330).

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

314132550 is a wasteful number, since it uses less digits than its factorization.

314132550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19337 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 314132550 is about 17723.7848666700. The cubic root of 314132550 is about 679.7840649431.

Adding to 314132550 its reverse (55231413), we get a palindrome (369363963).

The spelling of 314132550 in words is "three hundred fourteen million, one hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 654 1090 1635 2725 3270 5450 8175 16350 19213 38426 57639 96065 115278 192130 288195 480325 576390 960650 1440975 2094217 2881950 4188434 6282651 10471085 12565302 20942170 31413255 52355425 62826510 104710850 157066275 314132550