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120224430 = 23252973631
BaseRepresentation
bin1110010101001…
…11101010101110
322101020000220200
413022213222232
5221234140210
615532454330
72656614354
oct712475256
9271200820
10120224430
1161955437
123431a3a6
131bba5121
1411d777d4
15a84c0c0
hex72a7aae

120224430 has 96 divisors (see below), whose sum is σ = 328311360. Its totient is φ = 30481920.

The previous prime is 120224353. The next prime is 120224437. The reversal of 120224430 is 34422021.

120224430 is a `hidden beast` number, since 12 + 0 + 224 + 430 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120224437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190215 + ... + 190845.

It is an arithmetic number, because the mean of its divisors is an integer number (3419910).

Almost surely, 2120224430 is an apocalyptic number.

120224430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164155680).

120224430 is an abundant number, since it is smaller than the sum of its proper divisors (208086930).

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

120224430 is a wasteful number, since it uses less digits than its factorization.

120224430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120224430 is about 10964.6901461008. The cubic root of 120224430 is about 493.5497189093.

Adding to 120224430 its reverse (34422021), we get a palindrome (154646451).

The spelling of 120224430 in words is "one hundred twenty million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 73 87 90 145 146 174 219 261 290 365 435 438 522 631 657 730 870 1095 1262 1305 1314 1893 2117 2190 2610 3155 3285 3786 4234 5679 6310 6351 6570 9465 10585 11358 12702 18299 18930 19053 21170 28395 31755 36598 38106 46063 54897 56790 63510 91495 92126 95265 109794 138189 164691 182990 190530 230315 274485 276378 329382 414567 460630 548970 690945 823455 829134 1335827 1381890 1646910 2072835 2671654 4007481 4145670 6679135 8014962 12022443 13358270 20037405 24044886 40074810 60112215 120224430