Search a number
-
+
3205224 = 2333111971
BaseRepresentation
bin1100001110100001101000
320000211202000
430032201220
51310031344
6152411000
736146451
oct14164150
96024660
103205224
11189a150
1210a6a60
13882ba9
145d6128
15434a69
hex30e868

3205224 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 907200.

The previous prime is 3205219. The next prime is 3205253. The reversal of 3205224 is 4225023.

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

It is a junction number, because it is equal to n+sod(n) for n = 3205197 and 3205206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45109 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

Almost surely, 23205224 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 3205224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3205224 is an abundant number, since it is smaller than the sum of its proper divisors (7162776).

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

3205224 is a wasteful number, since it uses less digits than its factorization.

3205224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3205224 is about 1790.3139389504. The cubic root of 3205224 is about 147.4414054345.

The spelling of 3205224 in words is "three million, two hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 71 72 76 88 99 108 114 132 142 152 171 198 209 213 216 228 264 284 297 342 396 418 426 456 513 568 594 627 639 684 781 792 836 852 1026 1188 1254 1278 1349 1368 1562 1672 1704 1881 1917 2052 2343 2376 2508 2556 2698 3124 3762 3834 4047 4104 4686 5016 5112 5396 5643 6248 7029 7524 7668 8094 9372 10792 11286 12141 14058 14839 15048 15336 16188 18744 21087 22572 24282 28116 29678 32376 36423 42174 44517 45144 48564 56232 59356 72846 84348 89034 97128 118712 133551 145692 168696 178068 267102 291384 356136 400653 534204 801306 1068408 1602612 3205224