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10223211432 = 233728693207
BaseRepresentation
bin10011000010101100…
…11101001110101000
3222101110202221122110
421201112131032220
5131414120231212
64410234522320
7511224602100
oct114126351650
928343687573
1010223211432
114376811075
121b938963a0
13c6c010845
146cda68200
153ec79ea3c
hex26159d3a8

10223211432 has 48 divisors (see below), whose sum is σ = 29730771360. Its totient is φ = 2920917216.

The previous prime is 10223211431. The next prime is 10223211463. The reversal of 10223211432 is 23411232201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10223211399 and 10223211408.

It is not an unprimeable number, because it can be changed into a prime (10223211431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4345428 + ... + 4347779.

It is an arithmetic number, because the mean of its divisors is an integer number (619391070).

Almost surely, 210223211432 is an apocalyptic number.

10223211432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223211432 is an abundant number, since it is smaller than the sum of its proper divisors (19507559928).

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

10223211432 is a wasteful number, since it uses less digits than its factorization.

10223211432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8693230 (or 8693219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10223211432 its reverse (23411232201), we get a palindrome (33634443633).

The spelling of 10223211432 in words is "ten billion, two hundred twenty-three million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 8693207 17386414 26079621 34772828 52159242 60852449 69545656 104318484 121704898 182557347 208636968 243409796 365114694 425967143 486819592 730229388 851934286 1277901429 1460458776 1703868572 2555802858 3407737144 5111605716 10223211432