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469224 = 23327319
BaseRepresentation
bin1110010100011101000
3212211122200
41302203220
5110003344
614020200
73663000
oct1624350
9784580
10469224
112a0598
121a7660
13135762
14c3000
1594069
hex728e8

469224 has 96 divisors (see below), whose sum is σ = 1560000. Its totient is φ = 127008.

The previous prime is 469219. The next prime is 469229. The reversal of 469224 is 422964.

It is a Cunningham number, because it is equal to 6852-1.

It is an interprime number because it is at equal distance from previous prime (469219) and next prime (469229).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (469229) by changing a digit.

469224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24687 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (16250).

2469224 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 469224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780000).

469224 is an abundant number, since it is smaller than the sum of its proper divisors (1090776).

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

469224 is a wasteful number, since it uses less digits than its factorization.

469224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 469224 is about 684.9992700726. Note that the first 3 decimals coincide. The cubic root of 469224 is about 77.7069874408.

The spelling of 469224 in words is "four hundred sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 343 392 399 441 456 504 532 588 684 686 798 882 931 1029 1064 1176 1197 1368 1372 1596 1764 1862 2058 2394 2744 2793 3087 3192 3528 3724 4116 4788 5586 6174 6517 7448 8232 8379 9576 11172 12348 13034 16758 19551 22344 24696 26068 33516 39102 52136 58653 67032 78204 117306 156408 234612 469224