Search a number
-
+
20412223000 = 2353131792363
BaseRepresentation
bin10011000000101010…
…011100111000011000
31221200120012100220021
4103000222130320120
5313301012114000
613213252440224
71321556014141
oct230052347030
957616170807
1020412223000
118725193294
123b58019074
131c03c08880
14db8d4cac8
157e704611a
hex4c0a9ce18

20412223000 has 128 divisors (see below), whose sum is σ = 54465203520. Its totient is φ = 7093401600.

The previous prime is 20412222997. The next prime is 20412223021. The reversal of 20412223000 is 32221402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174819 + ... + 267181.

Almost surely, 220412223000 is an apocalyptic number.

20412223000 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 20412223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27232601760).

20412223000 is an abundant number, since it is smaller than the sum of its proper divisors (34052980520).

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

20412223000 is a wasteful number, since it uses less digits than its factorization.

20412223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92414 (or 92400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20412223000 its reverse (32221402), we get a palindrome (20444444402).

The spelling of 20412223000 in words is "twenty billion, four hundred twelve million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 500 520 650 680 850 884 1000 1105 1300 1625 1700 1768 2125 2210 2600 3250 3400 4250 4420 5525 6500 8500 8840 11050 13000 17000 22100 27625 44200 55250 92363 110500 184726 221000 369452 461815 738904 923630 1200719 1570171 1847260 2309075 2401438 3140342 3694520 4618150 4802876 6003595 6280684 7850855 9236300 9605752 11545375 12007190 12561368 15701710 18472600 20412223 23090750 24014380 30017975 31403420 39254275 40824446 46181500 48028760 60035950 62806840 78508550 81648892 92363000 102061115 120071900 150089875 157017100 163297784 196271375 204122230 240143800 300179750 314034200 392542750 408244460 510305575 600359500 785085500 816488920 1020611150 1200719000 1570171000 2041222300 2551527875 4082444600 5103055750 10206111500 20412223000