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229918780 = 225721318047
BaseRepresentation
bin11011011010001…
…00100000111100
3121000122002021101
431231010200330
5432324400110
634451542444
75461164100
oct1555044074
9530562241
10229918780
11108868423
1264bbaa24
1338831320
142276d900
15152b913a
hexdb4483c

229918780 has 72 divisors (see below), whose sum is σ = 604896768. Its totient is φ = 72761472.

The previous prime is 229918769. The next prime is 229918789. The reversal of 229918780 is 87819922.

It is a self number, because there is not a number n which added to its sum of digits gives 229918780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229918789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717 + ... + 21763.

It is an arithmetic number, because the mean of its divisors is an integer number (8401344).

Almost surely, 2229918780 is an apocalyptic number.

229918780 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 229918780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302448384).

229918780 is an abundant number, since it is smaller than the sum of its proper divisors (374977988).

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

229918780 is a wasteful number, since it uses less digits than its factorization.

229918780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 229918780 is about 15163.0729075607. The cubic root of 229918780 is about 612.6204389010.

The spelling of 229918780 in words is "two hundred twenty-nine million, nine hundred eighteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 18047 36094 72188 90235 126329 180470 234611 252658 360940 469222 505316 631645 884303 938444 1173055 1263290 1642277 1768606 2346110 2526580 3284554 3537212 4421515 4692220 6569108 8211385 8843030 11495939 16422770 17686060 22991878 32845540 45983756 57479695 114959390 229918780