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228432996 = 22321122292
BaseRepresentation
bin11011001110110…
…01110001100100
3120220211121011100
431213121301210
5431434323441
634400040100
75442435261
oct1547316144
9526747140
10228432996
11107a43100
1264603030
1338430c6c
14224a4268
15150c3cb6
hexd9d9c64

228432996 has 81 divisors (see below), whose sum is σ = 637477113. Its totient is φ = 68919840.

The previous prime is 228432979. The next prime is 228433039. The reversal of 228432996 is 699234822.

The square root of 228432996 is 15114.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 212751396 + 15681600 = 14586^2 + 3960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 997410 + ... + 997638.

Almost surely, 2228432996 is an apocalyptic number.

228432996 is the 15114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228432996

228432996 is an abundant number, since it is smaller than the sum of its proper divisors (409044117).

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

228432996 is a wasteful number, since it uses less digits than its factorization.

228432996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The cubic root of 228432996 is about 611.2979582731.

The spelling of 228432996 in words is "two hundred twenty-eight million, four hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 229 242 363 396 458 484 687 726 916 1089 1374 1452 2061 2178 2519 2748 4122 4356 5038 7557 8244 10076 15114 22671 27709 30228 45342 52441 55418 83127 90684 104882 110836 157323 166254 209764 249381 314646 332508 471969 498762 576851 629292 943938 997524 1153702 1730553 1887876 2307404 3461106 5191659 6345361 6922212 10383318 12690722 19036083 20766636 25381444 38072166 57108249 76144332 114216498 228432996