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22002020240 = 245416707933
BaseRepresentation
bin10100011111011011…
…000010111110010000
32002210100200102201112
4110133123002332100
5330030004121430
614035123352452
71406142041414
oct243733027620
962710612645
1022002020240
119370626502
124320522728
1320c83ab6b5
1410ca148d44
1588b8cc195
hex51f6c2f90

22002020240 has 40 divisors (see below), whose sum is σ = 52402380408. Its totient is φ = 8586152960.

The previous prime is 22002020233. The next prime is 22002020267. The reversal of 22002020240 is 4202020022.

It can be written as a sum of positive squares in 4 ways, for example, as 2643193744 + 19358826496 = 51412^2 + 139136^2 .

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

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, 3350687 + ... + 3357246.

Almost surely, 222002020240 is an apocalyptic number.

22002020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002020240 is an abundant number, since it is smaller than the sum of its proper divisors (30400360168).

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

22002020240 is a wasteful number, since it uses less digits than its factorization.

22002020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707987 (or 6707981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22002020240 its reverse (4202020022), we get a palindrome (26204040262).

The spelling of 22002020240 in words is "twenty-two billion, two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6707933 13415866 26831732 33539665 53663464 67079330 107326928 134158660 268317320 275025253 536634640 550050506 1100101012 1375126265 2200202024 2750252530 4400404048 5500505060 11001010120 22002020240