Search a number
-
+
226042023000 = 23353274927409
BaseRepresentation
bin1101001010000100100…
…1111000110001011000
3210121110020221112010210
43102201021320301120
512200413224214000
6251501533011120
722221350331213
oct3224111706130
9717406845123
10226042023000
1187955913562
1237985023aa0
13184146b7141
14ad249d477a
155d2e879350
hex34a1278c58

226042023000 has 128 divisors (see below), whose sum is σ = 705533400000. Its totient is φ = 60253747200.

The previous prime is 226042022977. The next prime is 226042023059. The reversal of 226042023000 is 320240622.

It is a super-3 number, since 3×2260420230003 (a number of 35 digits) contains 333 as substring.

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, 8233296 + ... + 8260704.

Almost surely, 2226042023000 is an apocalyptic number.

226042023000 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 226042023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352766700000).

226042023000 is an abundant number, since it is smaller than the sum of its proper divisors (479491377000).

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

226042023000 is a wasteful number, since it uses less digits than its factorization.

226042023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30182 (or 30168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 226042023000 its reverse (320240622), we get a palindrome (226362263622).

The spelling of 226042023000 in words is "two hundred twenty-six billion, forty-two million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2749 3000 5498 8247 10996 13745 16494 21992 27409 27490 32988 41235 54818 54980 65976 68725 82227 82470 109636 109960 137045 137450 164454 164940 206175 219272 274090 274900 328908 329880 343625 411135 412350 548180 549800 657816 685225 687250 822270 824700 1030875 1096360 1370450 1374500 1644540 1649400 2055675 2061750 2740900 2749000 3289080 3426125 4111350 4123500 5481800 6852250 8222700 8247000 10278375 13704500 16445400 20556750 27409000 41113500 75347341 82227000 150694682 226042023 301389364 376736705 452084046 602778728 753473410 904168092 1130210115 1506946820 1808336184 1883683525 2260420230 3013893640 3767367050 4520840460 5651050575 7534734100 9041680920 9418417625 11302101150 15069468200 18836835250 22604202300 28255252875 37673670500 45208404600 56510505750 75347341000 113021011500 226042023000