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10223222040 = 23325139204301
BaseRepresentation
bin10011000010101100…
…11111110100011000
3222101110210111012100
421201112133310120
5131414121101130
64410235043400
7511224645033
oct114126376430
928343714170
1010223222040
114376819039
121b938a0560
13c6c015615
146cda6c01a
153ec7a2c60
hex26159fd18

10223222040 has 96 divisors (see below), whose sum is σ = 33464667600. Its totient is φ = 2706566400.

The previous prime is 10223222027. The next prime is 10223222047. The reversal of 10223222040 is 4022232201.

10223222040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223222047) 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, 52111 + ... + 152190.

Almost surely, 210223222040 is an apocalyptic number.

10223222040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223222040 is an abundant number, since it is smaller than the sum of its proper divisors (23241445560).

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

10223222040 is a wasteful number, since it uses less digits than its factorization.

10223222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204457 (or 204450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10223222040 its reverse (4022232201), we get a palindrome (14245454241).

The spelling of 10223222040 in words is "ten billion, two hundred twenty-three million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 204301 408602 612903 817204 1021505 1225806 1634408 1838709 2043010 2451612 3064515 3677418 4086020 4903224 6129030 7354836 8172040 9193545 12258060 14709672 18387090 24516120 28397839 36774180 56795678 73548360 85193517 113591356 141989195 170387034 227182712 255580551 283978390 340774068 425967585 511161102 567956780 681548136 851935170 1022322204 1135913560 1277902755 1703870340 2044644408 2555805510 3407740680 5111611020 10223222040