Search a number
-
+
469228716 = 2232115379283
BaseRepresentation
bin11011111101111…
…101110010101100
31012200221021210100
4123331331302230
51430110304331
6114321111100
714425243515
oct3375756254
91180837710
10469228716
1122095a530
12111188490
13762a0038
1446465a0c
152b2daae6
hex1bf7dcac

469228716 has 144 divisors (see below), whose sum is σ = 1339752960. Its totient is φ = 137255040.

The previous prime is 469228703. The next prime is 469228717. The reversal of 469228716 is 617822964.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (469228717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657911 + ... + 1658193.

It is an arithmetic number, because the mean of its divisors is an integer number (9303840).

Almost surely, 2469228716 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 469228716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669876480).

469228716 is an abundant number, since it is smaller than the sum of its proper divisors (870524244).

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

469228716 is a wasteful number, since it uses less digits than its factorization.

469228716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 469228716 is about 21661.6877458798. The cubic root of 469228716 is about 777.0724777479.

The spelling of 469228716 in words is "four hundred sixty-nine million, two hundred twenty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 79 99 106 132 158 159 198 212 237 283 316 318 396 474 477 566 583 636 711 849 869 948 954 1132 1166 1422 1698 1738 1749 1908 2332 2547 2607 2844 3113 3396 3476 3498 4187 5094 5214 5247 6226 6996 7821 8374 9339 10188 10428 10494 12452 12561 14999 15642 16748 18678 20988 22357 25122 28017 29998 31284 37356 37683 44714 44997 46057 50244 56034 59996 67071 75366 89428 89994 92114 112068 134142 134991 138171 150732 164989 179988 184228 201213 245927 268284 269982 276342 329978 402426 414513 491854 494967 539964 552684 659956 737781 804852 829026 983708 989934 1184921 1475562 1484901 1658052 1979868 2213343 2369842 2951124 2969802 3554763 4426686 4739684 5939604 7109526 8853372 10664289 13034131 14219052 21328578 26068262 39102393 42657156 52136524 78204786 117307179 156409572 234614358 469228716