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228677460 = 2235113171093
BaseRepresentation
bin11011010000101…
…01011101010100
3120221022000111120
431220111131110
5432020134320
634405203540
75444504064
oct1550253524
9527260446
10228677460
1110809a840
12647005b0
13384b830b
14225293a4
1515121440
hexda15754

228677460 has 96 divisors (see below), whose sum is σ = 701350272. Its totient is φ = 55211520.

The previous prime is 228677453. The next prime is 228677461. The reversal of 228677460 is 64776822.

228677460 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228677461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208674 + ... + 209766.

It is an arithmetic number, because the mean of its divisors is an integer number (7305732).

Almost surely, 2228677460 is an apocalyptic number.

228677460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228677460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350675136).

228677460 is an abundant number, since it is smaller than the sum of its proper divisors (472672812).

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

228677460 is a wasteful number, since it uses less digits than its factorization.

228677460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 228677460 is about 15122.0851736789. The cubic root of 228677460 is about 611.5159464346.

The spelling of 228677460 in words is "two hundred twenty-eight million, six hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1093 1268 1585 1902 2186 3170 3279 3487 3804 4372 4755 5465 6340 6558 6974 9510 10461 10930 12023 13116 13948 16395 17435 19020 20922 21860 24046 32790 34870 36069 41844 48092 52305 60115 65580 69740 72138 104610 120230 144276 180345 209220 240460 346481 360690 692962 721380 1039443 1385924 1732405 2078886 3464810 3811291 4157772 5197215 6929620 7622582 10394430 11433873 15245164 19056455 20788860 22867746 38112910 45735492 57169365 76225820 114338730 228677460