Search a number
-
+
223383800276 = 2271310718113167
BaseRepresentation
bin1101000000001010110…
…1100100100111010100
3210100121000000211002022
43100002231210213110
512124442223102101
6250342054032312
722065441654560
oct3200255444724
9710530024068
10223383800276
118681137147a
1237362948698
13180aca6a1a0
14ab519586a0
155c262e7a1b
hex3402b649d4

223383800276 has 96 divisors (see below), whose sum is σ = 486052503552. Its totient is φ = 87469741440.

The previous prime is 223383800249. The next prime is 223383800279. The reversal of 223383800276 is 672008383322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223383800279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70533245 + ... + 70536411.

It is an arithmetic number, because the mean of its divisors is an integer number (5063046912).

Almost surely, 2223383800276 is an apocalyptic number.

223383800276 is a gapful number since it is divisible by the number (26) 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 223383800276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243026251776).

223383800276 is an abundant number, since it is smaller than the sum of its proper divisors (262668703276).

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

223383800276 is a wasteful number, since it uses less digits than its factorization.

223383800276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 223383800276 in words is "two hundred twenty-three billion, three hundred eighty-three million, eight hundred thousand, two hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 107 182 214 364 428 749 1391 1498 1811 2782 2996 3167 3622 5564 6334 7244 9737 12668 12677 19474 22169 23543 25354 38948 41171 44338 47086 50708 82342 88676 94172 164684 164801 193777 288197 329602 338869 387554 576394 659204 677738 775108 1152788 1355476 1356439 2372083 2519101 2712878 4405297 4744166 5038202 5425756 5735437 8810594 9488332 10076404 11470874 17621188 17633707 22941748 30837079 35267414 40148059 61674158 70534828 74560681 80296118 123348316 149121362 160592236 298242724 521924767 613691759 1043849534 1227383518 2087699068 2454767036 4295842313 7977992867 8591684626 15955985734 17183369252 31911971468 55845950069 111691900138 223383800276