Search a number
-
+
229994496 = 2123217367
BaseRepresentation
bin11011011010101…
…11000000000000
3121000202221010200
431231113000000
5432334310441
634453325200
75461630614
oct1555270000
9530687120
10229994496
1110890a2a6
1265036800
1338859924
142278d344
15152d17b6
hexdb57000

229994496 has 156 divisors (see below), whose sum is σ = 705343392. Its totient is φ = 71958528.

The previous prime is 229994491. The next prime is 229994497. The reversal of 229994496 is 694499922.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229994491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 626505 + ... + 626871.

It is an arithmetic number, because the mean of its divisors is an integer number (4521432).

Almost surely, 2229994496 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 229994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352671696).

229994496 is an abundant number, since it is smaller than the sum of its proper divisors (475348896).

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

229994496 is a wasteful number, since it uses less digits than its factorization.

229994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 229994496 is about 15165.5694255112. The cubic root of 229994496 is about 612.6876801507.

It can be divided in two parts, 22999 and 4496, that added together give a triangular number (27495 = T234).

The spelling of 229994496 in words is "two hundred twenty-nine million, nine hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 367 384 408 512 544 576 612 734 768 816 1024 1088 1101 1152 1224 1468 1536 1632 2048 2176 2202 2304 2448 2936 3072 3264 3303 4096 4352 4404 4608 4896 5872 6144 6239 6528 6606 8704 8808 9216 9792 11744 12288 12478 13056 13212 17408 17616 18432 18717 19584 23488 24956 26112 26424 34816 35232 36864 37434 39168 46976 49912 52224 52848 56151 69632 70464 74868 78336 93952 99824 104448 105696 112302 140928 149736 156672 187904 199648 208896 211392 224604 281856 299472 313344 375808 399296 422784 449208 563712 598944 626688 751616 798592 845568 898416 1127424 1197888 1503232 1597184 1691136 1796832 2254848 2395776 3194368 3382272 3593664 4509696 4791552 6388736 6764544 7187328 9583104 12777472 13529088 14374656 19166208 25554944 28749312 38332416 57498624 76664832 114997248 229994496