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20244004220 = 2251137110711
BaseRepresentation
bin10010110110101000…
…101111110101111100
31221020211122222010002
4102312220233311330
5312424431113340
613144443133432
71314444124316
oct226650576574
957224588102
1020244004220
118649238000
123b0b814278
131ba80cb22b
14da08807b6
157d73b8715
hex4b6a2fd7c

20244004220 has 96 divisors (see below), whose sum is σ = 47423480832. Its totient is φ = 7257096000.

The previous prime is 20244004199. The next prime is 20244004267. The reversal of 20244004220 is 2240044202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20244004192 and 20244004201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884665 + ... + 1895375.

It is an arithmetic number, because the mean of its divisors is an integer number (493994592).

Almost surely, 220244004220 is an apocalyptic number.

20244004220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20244004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711740416).

20244004220 is an abundant number, since it is smaller than the sum of its proper divisors (27179476612).

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

20244004220 is a wasteful number, since it uses less digits than its factorization.

20244004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20244004220 its reverse (2240044202), we get a palindrome (22484048422).

The spelling of 20244004220 in words is "twenty billion, two hundred forty-four million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 355 484 605 710 781 1210 1331 1420 1562 2420 2662 3124 3905 5324 6655 7810 8591 10711 13310 15620 17182 21422 26620 34364 42844 42955 53555 85910 94501 107110 117821 171820 189002 214220 235642 378004 471284 472505 589105 760481 945010 1178210 1296031 1520962 1890020 2356420 2592062 3041924 3802405 5184124 6480155 7604810 8365291 12960310 14256341 15209620 16730582 25920620 28512682 33461164 41826455 57025364 71281705 83652910 92018201 142563410 167305820 184036402 285126820 368072804 460091005 920182010 1012200211 1840364020 2024400422 4048800844 5061001055 10122002110 20244004220