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10223132240 = 245172442177
BaseRepresentation
bin10011000010101100…
…01001111001010000
3222101110121221000102
421201112021321100
5131414110212430
64410233111532
7511224122156
oct114126117120
928343557012
1010223132240
114376767622
121b938585a8
13c6bcb3799
146cda473d6
153ec786345
hex261589e50

10223132240 has 60 divisors (see below), whose sum is σ = 25249248156. Its totient is φ = 3848699904.

The previous prime is 10223132239. The next prime is 10223132243. The reversal of 10223132240 is 4223132201.

It can be written as a sum of positive squares in 6 ways, for example, as 1116629056 + 9106503184 = 33416^2 + 95428^2 .

It is a super-3 number, since 3×102231322403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223132243) 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, 197969 + ... + 244208.

Almost surely, 210223132240 is an apocalyptic number.

10223132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223132240 is an abundant number, since it is smaller than the sum of its proper divisors (15026115916).

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

10223132240 is a wasteful number, since it uses less digits than its factorization.

10223132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442224 (or 442201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223132240 its reverse (4223132201), we get a palindrome (14446264441).

The spelling of 10223132240 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 442177 884354 1768708 2210885 3537416 4421770 7074832 7517009 8843540 15034018 17687080 30068036 35374160 37585045 60136072 75170090 120272144 127789153 150340180 255578306 300680360 511156612 601360720 638945765 1022313224 1277891530 2044626448 2555783060 5111566120 10223132240