Search a number
-
+
10223112032 = 257192419967
BaseRepresentation
bin10011000010101100…
…00100111101100000
3222101110120220021222
421201112010331200
5131414104041112
64410232434212
7511224006230
oct114126047540
928343526258
1010223112032
114376753421
121b93848968
13c6bca7523
146cda3dcc0
153ec780372
hex261584f60

10223112032 has 96 divisors (see below), whose sum is σ = 24315540480. Its totient is φ = 4133099520.

The previous prime is 10223112007. The next prime is 10223112049. The reversal of 10223112032 is 23021132201.

It is a self number, because there is not a number n which added to its sum of digits gives 10223112032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020713 + ... + 1030679.

It is an arithmetic number, because the mean of its divisors is an integer number (253286880).

Almost surely, 210223112032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157770240).

10223112032 is an abundant number, since it is smaller than the sum of its proper divisors (14092428448).

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

10223112032 is a wasteful number, since it uses less digits than its factorization.

10223112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10223112032 its reverse (23021132201), we get a palindrome (33244244233).

The spelling of 10223112032 in words is "ten billion, two hundred twenty-three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 241 266 304 482 532 608 964 1064 1687 1928 2128 3374 3856 4256 4579 6748 7712 9158 9967 13496 18316 19934 26992 32053 36632 39868 53984 64106 69769 73264 79736 128212 139538 146528 159472 189373 256424 279076 318944 378746 512848 558152 757492 1025696 1116304 1325611 1514984 2232608 2402047 2651222 3029968 4804094 5302444 6059936 9608188 10604888 16814329 19216376 21209776 33628658 38432752 42419552 45638893 67257316 76865504 91277786 134514632 182555572 269029264 319472251 365111144 538058528 638944502 730222288 1277889004 1460444576 2555778008 5111556016 10223112032