Search a number
-
+
93412224 = 2733151179
BaseRepresentation
bin1011001000101…
…01101110000000
320111202211111000
411210111232000
5142403142344
613134052000
72212663563
oct544255600
9214684430
1093412224
1148801a94
122734a000
1316478109
14c5984da
158302a69
hex5915b80

93412224 has 128 divisors (see below), whose sum is σ = 279072000. Its totient is φ = 30758400.

The previous prime is 93412201. The next prime is 93412243. The reversal of 93412224 is 42221439.

It is a Cunningham number, because it is equal to 96652-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521767 + ... + 521945.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 293412224 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 93412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

93412224 is an abundant number, since it is smaller than the sum of its proper divisors (185659776).

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

93412224 is a wasteful number, since it uses less digits than its factorization.

93412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

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

The square root of 93412224 is about 9664.9999482669. Note that the first 4 decimals coincide. The cubic root of 93412224 is about 453.7339096815.

It can be divided in two parts, 93412 and 224, that added together give a square (93636 = 3062).

The spelling of 93412224 in words is "ninety-three million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 179 192 216 288 302 358 384 432 453 537 576 604 716 864 906 1074 1152 1208 1359 1432 1611 1728 1812 2148 2416 2718 2864 3222 3456 3624 4077 4296 4832 4833 5436 5728 6444 7248 8154 8592 9664 9666 10872 11456 12888 14496 16308 17184 19328 19332 21744 22912 25776 27029 28992 32616 34368 38664 43488 51552 54058 57984 65232 68736 77328 81087 86976 103104 108116 130464 154656 162174 173952 206208 216232 243261 260928 309312 324348 432464 486522 521856 618624 648696 729783 864928 973044 1297392 1459566 1729856 1946088 2594784 2919132 3459712 3892176 5189568 5838264 7784352 10379136 11676528 15568704 23353056 31137408 46706112 93412224