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10222521040 = 245148985817
BaseRepresentation
bin10011000010100111…
…10100101011010000
3222101102110212121101
421201103310223100
5131413431133130
64410212034144
7511215665224
oct114123645320
928342425541
1010222521040
11437638a3a6
121b93602954
13c6bb2b524
146cd928784
153ec6b51ca
hex2614f4ad0

10222521040 has 40 divisors (see below), whose sum is σ = 23783600520. Its totient is φ = 4086214656.

The previous prime is 10222521013. The next prime is 10222521109. The reversal of 10222521040 is 4012522201.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 9978411664 = 15624^2 + 99892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10222520999 and 10222521017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76212 + ... + 162028.

It is an arithmetic number, because the mean of its divisors is an integer number (594590013).

Almost surely, 210222521040 is an apocalyptic number.

10222521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222521040 is an abundant number, since it is smaller than the sum of its proper divisors (13561079480).

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

10222521040 is a wasteful number, since it uses less digits than its factorization.

10222521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87319 (or 87313 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 10222521040 in words is "ten billion, two hundred twenty-two million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1489 2978 5956 7445 11912 14890 23824 29780 59560 85817 119120 171634 343268 429085 686536 858170 1373072 1716340 3432680 6865360 127781513 255563026 511126052 638907565 1022252104 1277815130 2044504208 2555630260 5111260520 10222521040