Search a number
-
+
229139280 = 243653929
BaseRepresentation
bin11011010100001…
…10001101010000
3120222011111000000
431222012031100
5432124424110
634423130000
75451436356
oct1552061520
9528144000
10229139280
11108385807
12648a3900
133861a596
14226097d6
15151b31c0
hexda86350

229139280 has 140 divisors (see below), whose sum is σ = 798961140. Its totient is φ = 61088256.

The previous prime is 229139257. The next prime is 229139327. The reversal of 229139280 is 82931922.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 173606976 = 7452^2 + 13176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56356 + ... + 60284.

Almost surely, 2229139280 is an apocalyptic number.

229139280 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 229139280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399480570).

229139280 is an abundant number, since it is smaller than the sum of its proper divisors (569821860).

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

229139280 is an equidigital number, since it uses as much as digits as its factorization.

229139280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 229139280 is about 15137.3471916317. The cubic root of 229139280 is about 611.9273270108.

The spelling of 229139280 in words is "two hundred twenty-nine million, one hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 3929 4860 5832 6480 7290 7858 9720 11664 11787 14580 15716 19440 19645 23574 29160 31432 35361 39290 47148 58320 58935 62864 70722 78580 94296 106083 117870 141444 157160 176805 188592 212166 235740 282888 314320 318249 353610 424332 471480 530415 565776 636498 707220 848664 942960 954747 1060830 1272996 1414440 1591245 1697328 1909494 2121660 2545992 2828880 2864241 3182490 3818988 4243320 4773735 5091984 5728482 6364980 7637976 8486640 9547470 11456964 12729960 14321205 15275952 19094940 22913928 25459920 28642410 38189880 45827856 57284820 76379760 114569640 229139280