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229823280 = 24325378627
BaseRepresentation
bin11011011001011…
…01001100110000
3121000110020021100
431230231030300
5432313321110
634445524400
75460315501
oct1554551460
9530406240
10229823280
111088026a5
1264b73700
13387c9a0b
1422746ba8
151529abc0
hexdb2d330

229823280 has 120 divisors (see below), whose sum is σ = 792775152. Its totient is φ = 59622912.

The previous prime is 229823257. The next prime is 229823311. The reversal of 229823280 is 82328922.

229823280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 22327 + ... + 30953.

Almost surely, 2229823280 is an apocalyptic number.

229823280 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 229823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396387576).

229823280 is an abundant number, since it is smaller than the sum of its proper divisors (562951872).

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

229823280 is a wasteful number, since it uses less digits than its factorization.

229823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229823280 is about 15159.9234826565. The cubic root of 229823280 is about 612.5356069818.

It can be divided in two parts, 22982 and 3280, that added together give a palindrome (26262).

The spelling of 229823280 in words is "two hundred twenty-nine million, eight hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8627 8880 13320 17254 25881 26640 34508 43135 51762 69016 77643 86270 103524 129405 138032 155286 172540 207048 258810 310572 319199 345080 388215 414096 517620 621144 638398 690160 776430 957597 1035240 1242288 1276796 1552860 1595995 1915194 2070480 2553592 2872791 3105720 3191990 3830388 4787985 5107184 5745582 6211440 6383980 7660776 9575970 11491164 12767960 14363955 15321552 19151940 22982328 25535920 28727910 38303880 45964656 57455820 76607760 114911640 229823280