Search a number
-
+
93196224 = 2633114903
BaseRepresentation
bin1011000111000…
…00111111000000
320111100212012000
411203200333000
5142324234344
613125304000
72211104052
oct543407700
9214325160
1093196224
1148674780
1227265000
13164009c4
14c53d8d2
1582ada69
hex58e0fc0

93196224 has 112 divisors (see below), whose sum is σ = 298947840. Its totient is φ = 28235520.

The previous prime is 93196217. The next prime is 93196241. The reversal of 93196224 is 42269139.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16557 + ... + 21459.

Almost surely, 293196224 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 93196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149473920).

93196224 is an abundant number, since it is smaller than the sum of its proper divisors (205751616).

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

93196224 is a wasteful number, since it uses less digits than its factorization.

93196224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4919 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 93196224 is about 9653.8191406303. The cubic root of 93196224 is about 453.3839120806.

The spelling of 93196224 in words is "ninety-three million, one hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 4903 6336 9504 9806 14709 19008 19612 29418 39224 44127 53933 58836 78448 88254 107866 117672 132381 156896 161799 176508 215732 235344 264762 313792 323598 353016 431464 470688 485397 529524 647196 706032 862928 941376 970794 1059048 1294392 1412064 1456191 1725856 1941588 2118096 2588784 2824128 2912382 3451712 3883176 4236192 5177568 5824764 7766352 8472384 10355136 11649528 15532704 23299056 31065408 46598112 93196224