Search a number
-
+
222023006242040 = 235191000692919341
BaseRepresentation
bin110010011110110111000010…
…011010110100010011111000
31002010010012012001020121020202
4302132313002122310103320
5213100111104044221130
62104111543324141332
764523430032562443
oct6236670232642370
91063105161217222
10222023006242040
116481a478994343
1220a99667697848
1396b68ab270343
143cb7d83da665a
151aa04dba47145
hexc9edc26b44f8

222023006242040 has 64 divisors (see below), whose sum is σ = 525849397092000. Its totient is φ = 84134164354560.

The previous prime is 222023006242019. The next prime is 222023006242069. The reversal of 222023006242040 is 40242600320222.

It is a super-3 number, since 3×2220230062420403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222023006241994 and 222023006242012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74592770 + ... + 77512110.

Almost surely, 2222023006242040 is an apocalyptic number.

222023006242040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222023006242040 is an abundant number, since it is smaller than the sum of its proper divisors (303826390849960).

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

222023006242040 is a wasteful number, since it uses less digits than its factorization.

222023006242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019440 (or 3019436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 222023006242040 its reverse (40242600320222), we get a palindrome (262265606562262).

The spelling of 222023006242040 in words is "two hundred twenty-two trillion, twenty-three billion, six million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 100069 200138 400276 500345 800552 1000690 1901311 2001380 2919341 3802622 4002760 5838682 7605244 9506555 11677364 14596705 15210488 19013110 23354728 29193410 38026220 55467479 58386820 76052440 110934958 116773640 221869916 277337395 443739832 554674790 1109349580 2218699160 292135534529 584271069058 1168542138116 1460677672645 2337084276232 2921355345290 5550575156051 5842710690580 11101150312102 11685421381160 22202300624204 27752875780255 44404601248408 55505751560510 111011503121020 222023006242040