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10223234340 = 22351123973547
BaseRepresentation
bin10011000010101101…
…00010110100100100
3222101110211010001220
421201112202310210
5131414121444330
64410235220340
7511225025634
oct114126426444
928343733056
1010223234340
114376827300
121b938a76b0
13c6c01b0b7
146cda726c4
153ec7a6710
hex2615a2d24

10223234340 has 144 divisors (see below), whose sum is σ = 31552051776. Its totient is φ = 2471420160.

The previous prime is 10223234303. The next prime is 10223234341. The reversal of 10223234340 is 4343232201.

It is a self number, because there is not a number n which added to its sum of digits gives 10223234340.

It is not an unprimeable number, because it can be changed into a prime (10223234341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2880447 + ... + 2883993.

Almost surely, 210223234340 is an apocalyptic number.

10223234340 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 10223234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776025888).

10223234340 is an abundant number, since it is smaller than the sum of its proper divisors (21328817436).

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

10223234340 is a wasteful number, since it uses less digits than its factorization.

10223234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3965 counting only the distinct ones).

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

Adding to 10223234340 its reverse (4343232201), we get a palindrome (14566466541).

The spelling of 10223234340 in words is "ten billion, two hundred twenty-three million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 397 484 605 660 726 794 1191 1210 1452 1588 1815 1985 2382 2420 3547 3630 3970 4367 4764 5955 7094 7260 7940 8734 10641 11910 13101 14188 17468 17735 21282 21835 23820 26202 35470 39017 42564 43670 48037 52404 53205 65505 70940 78034 87340 96074 106410 117051 131010 144111 156068 192148 195085 212820 234102 240185 262020 288222 390170 429187 468204 480370 576444 585255 720555 780340 858374 960740 1170510 1287561 1408159 1441110 1716748 2145935 2341020 2575122 2816318 2882220 4224477 4291870 5150244 5632636 6437805 7040795 8448954 8583740 12875610 14081590 15489749 16897908 21122385 25751220 28163180 30979498 42244770 46469247 61958996 77448745 84489540 92938494 154897490 170387239 185876988 232346235 309794980 340774478 464692470 511161717 681548956 851936195 929384940 1022323434 1703872390 2044646868 2555808585 3407744780 5111617170 10223234340