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10223132000 = 255323111121
BaseRepresentation
bin10011000010101100…
…01001110101100000
3222101110121220200112
421201112021311200
5131414110211000
64410233110452
7511224121364
oct114126116540
928343556615
1010223132000
114376767424
121b93858428
13c6bcb3643
146cda472a4
153ec786235
hex261589d60

10223132000 has 96 divisors (see below), whose sum is σ = 26210568384. Its totient is φ = 3911424000.

The previous prime is 10223131991. The next prime is 10223132021. The reversal of 10223132000 is 23132201.

It is a happy number.

It is a super-3 number, since 3×102231320003 (a number of 31 digits) contains 333 as substring.

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, 36440 + ... + 147560.

It is an arithmetic number, because the mean of its divisors is an integer number (273026754).

Almost surely, 210223132000 is an apocalyptic number.

10223132000 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 10223132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105284192).

10223132000 is an abundant number, since it is smaller than the sum of its proper divisors (15987436384).

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

10223132000 is a wasteful number, since it uses less digits than its factorization.

10223132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111169 (or 111151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10223132000 its reverse (23132201), we get a palindrome (10246264201).

The spelling of 10223132000 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 111121 222242 444484 555605 888968 1111210 1777936 2222420 2555783 2778025 3555872 4444840 5111566 5556050 8889680 10223132 11112100 12778915 13890125 17779360 20446264 22224200 25557830 27780250 40892528 44448400 51115660 55560500 63894575 81785056 88896800 102231320 111121000 127789150 204462640 222242000 255578300 319472875 408925280 444484000 511156600 638945750 1022313200 1277891500 2044626400 2555783000 5111566000 10223132000