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22001113232 = 2471925310267
BaseRepresentation
bin10100011111010111…
…100101100010010000
32002210021222100112122
4110133113211202100
5330024241110412
614035052113412
71406131243160
oct243727454220
962707870478
1022001113232
11937006700a
124320165868
1320c81518c7
1410c9d905a0
1588b79d572
hex51f5e5890

22001113232 has 120 divisors (see below), whose sum is σ = 52390950336. Its totient is φ = 8763386112.

The previous prime is 22001113201. The next prime is 22001113237. The reversal of 22001113232 is 23231110022.

It is a self number, because there is not a number n which added to its sum of digits gives 22001113232.

It is not an unprimeable number, because it can be changed into a prime (22001113237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2137763 + ... + 2148029.

Almost surely, 222001113232 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 22001113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26195475168).

22001113232 is an abundant number, since it is smaller than the sum of its proper divisors (30389837104).

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

22001113232 is a wasteful number, since it uses less digits than its factorization.

22001113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10348 counting only the distinct ones).

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

Adding to 22001113232 its reverse (23231110022), we get a palindrome (45232223254).

The spelling of 22001113232 in words is "twenty-two billion, one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 53 56 76 106 112 133 152 212 266 304 361 371 424 532 722 742 848 1007 1064 1444 1484 2014 2128 2527 2888 2968 4028 5054 5776 5936 7049 8056 10108 10267 14098 16112 19133 20216 20534 28196 38266 40432 41068 56392 71869 76532 82136 112784 133931 143738 153064 164272 195073 267862 287476 306128 390146 535724 544151 574952 780292 1071448 1088302 1149904 1365511 1560584 2142896 2176604 2731022 3121168 3706387 3809057 4353208 5462044 7412774 7618114 8706416 10338869 10924088 14825548 15236228 20677738 21848176 25944709 29651096 30472456 41355476 51889418 59302192 60944912 72372083 82710952 103778836 144744166 165421904 196438511 207557672 289488332 392877022 415115344 578976664 785754044 1157953328 1375069577 1571508088 2750139154 3143016176 5500278308 11000556616 22001113232