Search a number
-
+
10223362352 = 2472175913001
BaseRepresentation
bin10011000010101110…
…00010000100110000
3222101111001121200002
421201113002010300
5131414140043402
64410242045132
7511226101100
oct114127020460
928344047602
1010223362352
1143769044a5
121b939497a8
13c6c064448
146cdaa7200
153ec7ce602
hex2615c2130

10223362352 has 120 divisors (see below), whose sum is σ = 24812496720. Its totient is φ = 4053504000.

The previous prime is 10223362339. The next prime is 10223362393. The reversal of 10223362352 is 25326332201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779852 + ... + 792852.

It is an arithmetic number, because the mean of its divisors is an integer number (206770806).

Almost surely, 210223362352 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 10223362352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12406248360).

10223362352 is an abundant number, since it is smaller than the sum of its proper divisors (14589134368).

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

10223362352 is a wasteful number, since it uses less digits than its factorization.

10223362352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13099 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 10223362352 its reverse (25326332201), we get a palindrome (35549694553).

The spelling of 10223362352 in words is "ten billion, two hundred twenty-three million, three hundred sixty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 59 68 98 112 118 119 136 196 236 238 272 392 413 472 476 784 826 833 944 952 1003 1652 1666 1904 2006 2891 3304 3332 4012 5782 6608 6664 7021 8024 11564 13001 13328 14042 16048 23128 26002 28084 46256 49147 52004 56168 91007 98294 104008 112336 182014 196588 208016 221017 364028 393176 442034 637049 728056 767059 786352 884068 1274098 1456112 1534118 1547119 1768136 2548196 3068236 3094238 3536272 5096392 5369413 6136472 6188476 10192784 10738826 10829833 12272944 12376952 13040003 21477652 21659666 24753904 26080006 37585891 42955304 43319332 52160012 75171782 85910608 86638664 91280021 104320024 150343564 173277328 182560042 208640048 300687128 365120084 601374256 638960147 730240168 1277920294 1460480336 2555840588 5111681176 10223362352