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4222785105 = 3257112814337
BaseRepresentation
bin1111101110110010…
…1001011001010001
3101220021220201011100
43323230221121101
532122013110410
61535004535013
7206434036560
oct37354513121
911807821140
104222785105
111877719a50
1299a251469
13523b25a16
142c0b87bd7
1519aad08c0
hexfbb29651

4222785105 has 96 divisors (see below), whose sum is σ = 9160190208. Its totient is φ = 1748275200.

The previous prime is 4222785103. The next prime is 4222785109. The reversal of 4222785105 is 5015872224.

It is a happy number.

It is not a de Polignac number, because 4222785105 - 21 = 4222785103 is a prime.

It is a super-2 number, since 2×42227851052 = 35663828086019722050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4222785105.

It is not an unprimeable number, because it can be changed into a prime (4222785101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 971497 + ... + 975833.

It is an arithmetic number, because the mean of its divisors is an integer number (95418648).

Almost surely, 24222785105 is an apocalyptic number.

4222785105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4222785105 is an abundant number, since it is smaller than the sum of its proper divisors (4937405103).

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

4222785105 is a wasteful number, since it uses less digits than its factorization.

4222785105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4222785105 is about 64982.9601126326. The cubic root of 4222785105 is about 1616.3410160433.

The spelling of 4222785105 in words is "four billion, two hundred twenty-two million, seven hundred eighty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 281 315 385 495 693 843 1155 1405 1967 2529 3091 3465 4215 4337 5901 9273 9835 12645 13011 15455 17703 21637 21685 27819 29505 30359 39033 46365 47707 64911 65055 88515 91077 108185 139095 143121 151795 194733 195165 238535 273231 324555 333949 429363 455385 715605 973665 1001847 1218697 1366155 1669745 2146815 3005541 3656091 5009235 6093485 8530879 10968273 13405667 15027705 18280455 25592637 40217001 42654395 54841365 67028335 76777911 93839669 120651003 127963185 201085005 281519007 383889555 469198345 603255015 844557021 1407595035 4222785105