Search a number
-
+
146230224 = 243731101139
BaseRepresentation
bin10001011011101…
…00101111010000
3101012011021011020
420231310233100
5244413331344
622302115440
73423636120
oct1055645720
9335137136
10146230224
11755a7a28
1240b7bb80
13243ac07a
14155c6c80
15cc87719
hex8b74bd0

146230224 has 160 divisors (see below), whose sum is σ = 453304320. Its totient is φ = 39744000.

The previous prime is 146230219. The next prime is 146230241. The reversal of 146230224 is 422032641.

146230224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1462302242 = 42766556822180352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 146230194 and 146230203.

It is a congruent number.

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, 1051947 + ... + 1052085.

It is an arithmetic number, because the mean of its divisors is an integer number (2833152).

Almost surely, 2146230224 is an apocalyptic number.

146230224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226652160).

146230224 is an abundant number, since it is smaller than the sum of its proper divisors (307074096).

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

146230224 is a wasteful number, since it uses less digits than its factorization.

146230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 146230224 is about 12092.5689578352. The cubic root of 146230224 is about 526.8403728321.

Adding to 146230224 its reverse (422032641), we get a palindrome (568262865).

The spelling of 146230224 in words is "one hundred forty-six million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 101 112 124 139 168 186 202 217 248 278 303 336 372 404 417 434 496 556 606 651 707 744 808 834 868 973 1112 1212 1302 1414 1488 1616 1668 1736 1946 2121 2224 2424 2604 2828 2919 3131 3336 3472 3892 4242 4309 4848 5208 5656 5838 6262 6672 7784 8484 8618 9393 10416 11312 11676 12524 12927 14039 15568 16968 17236 18786 21917 23352 25048 25854 28078 30163 33936 34472 37572 42117 43834 46704 50096 51708 56156 60326 65751 68944 75144 84234 87668 90489 98273 103416 112312 120652 131502 150288 168468 175336 180978 196546 206832 224624 241304 263004 294819 336936 350672 361956 393092 435209 482608 526008 589638 673872 723912 786184 870418 1052016 1179276 1305627 1447824 1572368 1740836 2358552 2611254 3046463 3481672 4717104 5222508 6092926 6963344 9139389 10445016 12185852 18278778 20890032 24371704 36557556 48743408 73115112 146230224