Search a number
-
+
42224244420 = 22354127163337
BaseRepresentation
bin100111010100110000…
…101101011011000100
311000222200100212020110
4213110300231123010
51142433401310140
631221512033020
73023233104261
oct472460553304
9130880325213
1042224244420
11169a8537876
128224992770
133c9bb22217
142087b5a268
151171de2380
hex9d4c2d6c4

42224244420 has 96 divisors (see below), whose sum is σ = 121560316416. Its totient is φ = 10944460800.

The previous prime is 42224244409. The next prime is 42224244473. The reversal of 42224244420 is 2444242224.

It is a happy number.

It is a super-2 number, since 2×422242444202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634992 + ... + 698328.

It is an arithmetic number, because the mean of its divisors is an integer number (1266253296).

Almost surely, 242224244420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60780158208).

42224244420 is an abundant number, since it is smaller than the sum of its proper divisors (79336071996).

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

42224244420 is a wasteful number, since it uses less digits than its factorization.

42224244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63661 (or 63659 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42224244420 its reverse (2444242224), we get a palindrome (44668486644).

The spelling of 42224244420 in words is "forty-two billion, two hundred twenty-four million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 22222 33333 44444 55555 63337 66666 111110 126674 133332 166665 190011 222220 253348 316685 333330 380022 633370 666660 760044 950055 1266740 1900110 2596817 3800220 5193634 7790451 10387268 12984085 15580902 17164327 25968170 31161804 34328654 38952255 51492981 51936340 68657308 77904510 85821635 102985962 155809020 171643270 205971924 257464905 343286540 514929810 703737407 1029859620 1407474814 2111212221 2814949628 3518687035 4222424442 7037374070 8444848884 10556061105 14074748140 21112122210 42224244420