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10223434320 = 24351138310111
BaseRepresentation
bin10011000010101110…
…10011101001010000
3222101111012021101120
421201113103221100
5131414144344240
64410243402240
7511226520651
oct114127235120
928344167346
1010223434320
114376953580
121b93983380
13c6c08b128
146cdac5528
153ec7e5ad0
hex2615d3a50

10223434320 has 160 divisors (see below), whose sum is σ = 34667495424. Its totient is φ = 2471692800.

The previous prime is 10223434307. The next prime is 10223434327. The reversal of 10223434320 is 2343432201.

It is a Cunningham number, because it is equal to 1011112-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223434327) 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, 1006065 + ... + 1016175.

Almost surely, 210223434320 is an apocalyptic number.

10223434320 is a gapful number since it is divisible by the number (10) 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 10223434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333747712).

10223434320 is an abundant number, since it is smaller than the sum of its proper divisors (24444061104).

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

10223434320 is a wasteful number, since it uses less digits than its factorization.

10223434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10515 counting only the distinct ones).

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

Adding to 10223434320 its reverse (2343432201), we get a palindrome (12566866521).

The spelling of 10223434320 in words is "ten billion, two hundred twenty-three million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 383 440 528 660 766 880 1149 1320 1532 1915 2298 2640 3064 3830 4213 4596 5745 6128 7660 8426 9192 10111 11490 12639 15320 16852 18384 20222 21065 22980 25278 30333 30640 33704 40444 42130 45960 50555 50556 60666 63195 67408 80888 84260 91920 101110 101112 111221 121332 126390 151665 161776 168520 202220 202224 222442 242664 252780 303330 333663 337040 404440 444884 485328 505560 556105 606660 667326 808880 889768 1011120 1112210 1213320 1334652 1668315 1779536 2224420 2426640 2669304 3336630 3872513 4448840 5338608 6673260 7745026 8897680 11617539 13346520 15490052 19362565 23235078 26693040 30980104 38725130 42597643 46470156 58087695 61960208 77450260 85195286 92940312 116175390 127792929 154900520 170390572 185880624 212988215 232350780 255585858 309801040 340781144 425976430 464701560 511171716 638964645 681562288 851952860 929403120 1022343432 1277929290 1703905720 2044686864 2555858580 3407811440 5111717160 10223434320