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20224620240 = 2435117660841
BaseRepresentation
bin10010110101011110…
…110011011011010000
31221012111012011021220
4102311132303123100
5312410000321430
613142511445040
71314120302256
oct226536633320
957174164256
1020224620240
1186392a8590
123b05226780
131ba40a2316
14d9c0765d6
157d583a110
hex4b57b36d0

20224620240 has 80 divisors (see below), whose sum is σ = 68395997376. Its totient is φ = 4902937600.

The previous prime is 20224620233. The next prime is 20224620313. The reversal of 20224620240 is 4202642202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20224620240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3827781 + ... + 3833060.

Almost surely, 220224620240 is an apocalyptic number.

20224620240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224620240 is an abundant number, since it is smaller than the sum of its proper divisors (48171377136).

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

20224620240 is a wasteful number, since it uses less digits than its factorization.

20224620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660868 (or 7660862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 20224620240 in words is "twenty billion, two hundred twenty-four million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7660841 15321682 22982523 30643364 38304205 45965046 61286728 76608410 84269251 91930092 114912615 122573456 153216820 168538502 183860184 229825230 252807753 306433640 337077004 367720368 421346255 459650460 505615506 612867280 674154008 842692510 919300920 1011231012 1264038765 1348308016 1685385020 1838601840 2022462024 2528077530 3370770040 4044924048 5056155060 6741540080 10112310120 20224620240