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228144780 = 223251923511
BaseRepresentation
bin11011001100100…
…11011010001100
3120220021221210200
431212103122030
5431401113110
634345533500
75440125063
oct1546233214
9526257720
10228144780
11107866606
12644a4290
133835ca16
142242b1da
15150686c0
hexd99368c

228144780 has 108 divisors (see below), whose sum is σ = 730587312. Its totient is φ = 57620160.

The previous prime is 228144767. The next prime is 228144781. The reversal of 228144780 is 87441822.

228144780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (228144781) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63225 + ... + 66735.

Almost surely, 2228144780 is an apocalyptic number.

228144780 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 228144780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365293656).

228144780 is an abundant number, since it is smaller than the sum of its proper divisors (502442532).

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

228144780 is a wasteful number, since it uses less digits than its factorization.

228144780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 228144780 is about 15104.4622545789. The cubic root of 228144780 is about 611.0407566635.

The spelling of 228144780 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2166 3249 3420 3511 3610 4332 5415 6498 7022 7220 10533 10830 12996 14044 16245 17555 21066 21660 31599 32490 35110 42132 52665 63198 64980 66709 70220 105330 126396 133418 157995 200127 210660 266836 315990 333545 400254 600381 631980 667090 800508 1000635 1200762 1267471 1334180 2001270 2401524 2534942 3001905 3802413 4002540 5069884 6003810 6337355 7604826 11407239 12007620 12674710 15209652 19012065 22814478 25349420 38024130 45628956 57036195 76048260 114072390 228144780