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228998736 = 243231431193
BaseRepresentation
bin11011010011000…
…11111001010000
3120221220100012200
431221203321100
5432110424421
634420123200
75450312541
oct1551437120
9527810180
10228998736
1110829a15a
1264836500
133859b615
14225b04c8
1515186726
hexda63e50

228998736 has 120 divisors (see below), whose sum is σ = 677504256. Its totient is φ = 72092160.

The previous prime is 228998723. The next prime is 228998797. The reversal of 228998736 is 637899822.

It is a happy number.

228998736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191356 + ... + 192548.

Almost surely, 2228998736 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 228998736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338752128).

228998736 is an abundant number, since it is smaller than the sum of its proper divisors (448505520).

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

228998736 is a wasteful number, since it uses less digits than its factorization.

228998736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 228998736 is about 15132.7041866284. The cubic root of 228998736 is about 611.8021916147.

It can be divided in two parts, 2289 and 98736, that added together give a triangular number (101025 = T449).

The spelling of 228998736 in words is "two hundred twenty-eight million, nine hundred ninety-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1193 1333 1488 1548 2064 2232 2386 2666 3096 3579 3999 4464 4772 5332 6192 7158 7998 9544 10664 10737 11997 14316 15996 19088 21328 21474 23994 28632 31992 36983 42948 47988 51299 57264 63984 73966 85896 95976 102598 110949 147932 153897 171792 191952 205196 221898 295864 307794 332847 410392 443796 461691 591728 615588 665694 820784 887592 923382 1231176 1331388 1590269 1775184 1846764 2462352 2662776 3180538 3693528 4770807 5325552 6361076 7387056 9541614 12722152 14312421 19083228 25444304 28624842 38166456 57249684 76332912 114499368 228998736