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10233224430 = 23511134195693
BaseRepresentation
bin10011000011111001…
…01001110011101110
3222102011121122220020
421201330221303232
5131424201140210
64411233303010
7511405654362
oct114174516356
928364548806
1010233224430
11438142aa80
121b97104a66
13c711082b0
146d11132a2
153ed5cb770
hex261f29cee

10233224430 has 128 divisors (see below), whose sum is σ = 28927342080. Its totient is φ = 2284085760.

The previous prime is 10233224429. The next prime is 10233224479. The reversal of 10233224430 is 3442233201.

It is a self number, because there is not a number n which added to its sum of digits gives 10233224430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794664 + ... + 1800356.

It is an arithmetic number, because the mean of its divisors is an integer number (225994860).

Almost surely, 210233224430 is an apocalyptic number.

10233224430 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 10233224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463671040).

10233224430 is an abundant number, since it is smaller than the sum of its proper divisors (18694117650).

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

10233224430 is a wasteful number, since it uses less digits than its factorization.

10233224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10233224430 its reverse (3442233201), we get a palindrome (13675457631).

The spelling of 10233224430 in words is "ten billion, two hundred thirty-three million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 419 429 715 838 858 1257 1430 2095 2145 2514 4190 4290 4609 5447 5693 6285 9218 10894 11386 12570 13827 16341 17079 23045 27235 27654 28465 32682 34158 46090 54470 56930 59917 62623 69135 74009 81705 85395 119834 125246 138270 148018 163410 170790 179751 187869 222027 299585 313115 359502 370045 375738 444054 599170 626230 740090 814099 898755 939345 1110135 1628198 1797510 1878690 2220270 2385367 2442297 4070495 4770734 4884594 7156101 8140990 11926835 12211485 14312202 23853670 24422970 26239037 31009771 35780505 52478074 62019542 71561010 78717111 93029313 131195185 155048855 157434222 186058626 262390370 310097710 341107481 393585555 465146565 682214962 787171110 930293130 1023322443 1705537405 2046644886 3411074810 5116612215 10233224430