Search a number
-
+
229746840 = 233517112621
BaseRepresentation
bin11011011000110…
…10100010011000
3121000022100102020
431230122202120
5432303344330
634444134440
75456546601
oct1554324230
9530270366
10229746840
11108760224
1264b37420
13387a0c9b
1422726da8
1515283210
hexdb1a898

229746840 has 64 divisors (see below), whose sum is σ = 729790560. Its totient is φ = 57661440.

The previous prime is 229746817. The next prime is 229746851. The reversal of 229746840 is 48647922.

It is a super-2 number, since 2×2297468402 = 105567220979971200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229746792 and 229746801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54271 + ... + 58350.

Almost surely, 2229746840 is an apocalyptic number.

229746840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229746840 is an abundant number, since it is smaller than the sum of its proper divisors (500043720).

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

229746840 is a wasteful number, since it uses less digits than its factorization.

229746840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112652 (or 112648 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 229746840 is about 15157.4021520840. The cubic root of 229746840 is about 612.4676889800.

The spelling of 229746840 in words is "two hundred twenty-nine million, seven hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 112621 225242 337863 450484 563105 675726 900968 1126210 1351452 1689315 1914557 2252420 2702904 3378630 3829114 4504840 5743671 6757260 7658228 9572785 11487342 13514520 15316456 19145570 22974684 28718355 38291140 45949368 57436710 76582280 114873420 229746840