Search a number
-
+
228217536 = 26323112781
BaseRepresentation
bin11011001101001…
…01001011000000
3120220102122121100
431212211023000
5431410430121
634351254400
75440550151
oct1546451300
9526378540
10228217536
11107906238
126451a400
1338386b81
1422449928
1515080026
hexd9a52c0

228217536 has 84 divisors (see below), whose sum is σ = 675298624. Its totient is φ = 73612800.

The previous prime is 228217529. The next prime is 228217573. The reversal of 228217536 is 635712822.

It is a super-2 number, since 2×2282175362 = 104166487475822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228217536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11466 + ... + 24246.

Almost surely, 2228217536 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 228217536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337649312).

228217536 is an abundant number, since it is smaller than the sum of its proper divisors (447081088).

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

228217536 is a wasteful number, since it uses less digits than its factorization.

228217536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12817 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228217536 is about 15106.8704899460. The cubic root of 228217536 is about 611.1057039546.

The spelling of 228217536 in words is "two hundred twenty-eight million, two hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 12781 17856 25562 38343 51124 76686 102248 115029 153372 204496 230058 306744 396211 408992 460116 613488 792422 817984 920232 1188633 1226976 1584844 1840464 2377266 2453952 3169688 3565899 3680928 4754532 6339376 7131798 7361856 9509064 12678752 14263596 19018128 25357504 28527192 38036256 57054384 76072512 114108768 228217536