Search a number
-
+
351113224 = 237211107761
BaseRepresentation
bin10100111011011…
…001000000001000
3220110200101210111
4110323121000020
51204341110344
654501324104
711462261500
oct2473310010
9813611714
10351113224
11170215620
1299706634
1357985b07
14348baa00
1520c58834
hex14ed9008

351113224 has 96 divisors (see below), whose sum is σ = 844356960. Its totient is φ = 135340800.

The previous prime is 351113219. The next prime is 351113249. The reversal of 351113224 is 422311153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 351113195 and 351113204.

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 23 ways as a sum of consecutive naturals, for example, 461004 + ... + 461764.

It is an arithmetic number, because the mean of its divisors is an integer number (8795385).

Almost surely, 2351113224 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 351113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422178480).

351113224 is an abundant number, since it is smaller than the sum of its proper divisors (493243736).

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

351113224 is a wasteful number, since it uses less digits than its factorization.

351113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 351113224 is about 18738.0154765653. The cubic root of 351113224 is about 705.4762464580.

Adding to 351113224 its reverse (422311153), we get a palindrome (773424377).

The spelling of 351113224 in words is "three hundred fifty-one million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 107 154 196 214 308 392 428 539 616 749 761 856 1078 1177 1498 1522 2156 2354 2996 3044 4312 4708 5243 5327 5992 6088 8239 8371 9416 10486 10654 16478 16742 20972 21308 32956 33484 37289 41944 42616 57673 58597 65912 66968 74578 81427 115346 117194 149156 162854 230692 234388 298312 325708 410179 461384 468776 569989 651416 820358 895697 1139978 1640716 1791394 2279956 3281432 3582788 3989923 4559912 6269879 7165576 7979846 12539758 15959692 25079516 31919384 43889153 50159032 87778306 175556612 351113224