Search a number
-
+
422031130224 = 243113019264757
BaseRepresentation
bin1100010010000110000…
…00111111111001110000
31111100100002000202002220
412021003000333321300
523403304432131344
6521513423441040
742330216263244
oct6110300777160
91440302022086
10422031130224
11152a89630640
1269961456180
1330a49a6c882
14165d8128424
15aea0b25c19
hex624303fe70

422031130224 has 80 divisors (see below), whose sum is σ = 1189758910080. Its totient is φ = 127845377280.

The previous prime is 422031130187. The next prime is 422031130249.

It is a happy number.

422031130224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4220311302242 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 422031130194 and 422031130203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461654 + ... + 1726410.

It is an arithmetic number, because the mean of its divisors is an integer number (14871986376).

Almost surely, 2422031130224 is an apocalyptic number.

422031130224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422031130224 is an abundant number, since it is smaller than the sum of its proper divisors (767727779856).

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

422031130224 is a wasteful number, since it uses less digits than its factorization.

422031130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267798 (or 267792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 422031 and 130224, that added together give a palindrome (552255).

The spelling of 422031130224 in words is "four hundred twenty-two billion, thirty-one million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3019 6038 9057 12076 18114 24152 33209 36228 48304 66418 72456 99627 132836 144912 199254 264757 265672 398508 529514 531344 794271 797016 1059028 1588542 1594032 2118056 2912327 3177084 4236112 5824654 6354168 8736981 11649308 12708336 17473962 23298616 34947924 46597232 69895848 139791696 799301383 1598602766 2397904149 3197205532 4795808298 6394411064 8792315213 9591616596 12788822128 17584630426 19183233192 26376945639 35169260852 38366466384 52753891278 70338521704 105507782556 140677043408 211015565112 422031130224