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13222033230 = 23572312372213
BaseRepresentation
bin11000101000001100…
…00011011101001110
31021010110120212210110
430110012003131032
5204034320030410
610024002020450
7645440266560
oct142406033516
937113525713
1013222033230
11567554729a
122690047726
1313293a1a03
148d6045330
15525bae720
hex31418374e

13222033230 has 128 divisors (see below), whose sum is σ = 37890643968. Its totient is φ = 2887137792.

The previous prime is 13222033229. The next prime is 13222033241. The reversal of 13222033230 is 3233022231.

It is a super-3 number, since 3×132220332303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13222033197 and 13222033206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5973604 + ... + 5975816.

It is an arithmetic number, because the mean of its divisors is an integer number (296020656).

Almost surely, 213222033230 is an apocalyptic number.

13222033230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222033230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945321984).

13222033230 is an abundant number, since it is smaller than the sum of its proper divisors (24668610738).

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

13222033230 is a wasteful number, since it uses less digits than its factorization.

13222033230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13222033230 its reverse (3233022231), we get a palindrome (16455055461).

The spelling of 13222033230 in words is "thirteen billion, two hundred twenty-two million, thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1237 1610 2213 2415 2474 3711 4426 4830 6185 6639 7422 8659 11065 12370 13278 15491 17318 18555 22130 25977 28451 30982 33195 37110 43295 46473 50899 51954 56902 66390 77455 85353 86590 92946 101798 129885 142255 152697 154910 170706 199157 232365 254495 259770 284510 305394 356293 398314 426765 464730 508990 597471 712586 763485 853530 995785 1068879 1194942 1526970 1781465 1991570 2137758 2737481 2987355 3562930 5344395 5474962 5974710 8212443 10688790 13687405 16424886 19162367 27374810 38324734 41062215 57487101 62962063 82124430 95811835 114974202 125924126 188886189 191623670 287435505 314810315 377772378 440734441 574871010 629620630 881468882 944430945 1322203323 1888861890 2203672205 2644406646 4407344410 6611016615 13222033230