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22002012040 = 2354113415861
BaseRepresentation
bin10100011111011011…
…000000111110001000
32002210100200000110211
4110133123000332020
5330030003341130
614035123250504
71406142005461
oct243733007610
962710600424
1022002012040
119370620328
124320519a34
1320c83a7a48
1410ca145d68
1588b8c9a2a
hex51f6c0f88

22002012040 has 32 divisors (see below), whose sum is σ = 50711958360. Its totient is φ = 8586150400.

The previous prime is 22002012029. The next prime is 22002012041. The reversal of 22002012040 is 4021020022.

It can be written as a sum of positive squares in 4 ways, for example, as 11356312356 + 10645699684 = 106566^2 + 103178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22002012040.

It is not an unprimeable number, because it can be changed into a prime (22002012041) 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 7 ways as a sum of consecutive naturals, for example, 6706291 + ... + 6709570.

Almost surely, 222002012040 is an apocalyptic number.

22002012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002012040 is an abundant number, since it is smaller than the sum of its proper divisors (28709946320).

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

22002012040 is a wasteful number, since it uses less digits than its factorization.

22002012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13415913 (or 13415909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22002012040 its reverse (4021020022), we get a palindrome (26023032062).

The spelling of 22002012040 in words is "twenty-two billion, two million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 13415861 26831722 53663444 67079305 107326888 134158610 268317220 536634440 550050301 1100100602 2200201204 2750251505 4400402408 5500503010 11001006020 22002012040