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422553626355224 = 237134134940564037
BaseRepresentation
bin110000000010011110110111…
…0110011000010011000011000
32001102010201202202020021210202
41200010331232303002120120
5420341104311321331344
64054410242304201332
7155001330526564640
oct14004755663023030
92042121682207722
10422553626355224
11112702a94144351
123b485882609248
13151a1836360750
14764b9c1759520
1533cb8c99d594e
hex1804f6ecc2618

422553626355224 has 128 divisors (see below), whose sum is σ = 1001769482448000. Its totient is φ = 162619597762560.

The previous prime is 422553626355197. The next prime is 422553626355233.

422553626355224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4225536263552242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 422553626355224.

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, 9865067 + ... + 30698970.

It is an arithmetic number, because the mean of its divisors is an integer number (7826324081625).

Almost surely, 2422553626355224 is an apocalyptic number.

It is an amenable number.

422553626355224 is an abundant number, since it is smaller than the sum of its proper divisors (579215856092776).

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

422553626355224 is a wasteful number, since it uses less digits than its factorization.

422553626355224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40564453 (or 40564449 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 56.

The spelling of 422553626355224 in words is "four hundred twenty-two trillion, five hundred fifty-three billion, six hundred twenty-six million, three hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 349 364 533 574 698 728 1066 1148 1396 2132 2296 2443 2792 3731 4264 4537 4886 7462 9074 9772 14309 14924 18148 19544 28618 29848 31759 36296 57236 63518 100163 114472 127036 186017 200326 254072 372034 400652 744068 801304 1302119 1488136 2604238 5208476 10416952 40564037 81128074 162256148 283948259 324512296 527332481 567896518 1054664962 1135793036 1663125517 2109329924 2271586072 3326251034 3691327367 4218659848 6652502068 7382654734 11641878619 13305004136 14156848913 14765309468 21620631721 23283757238 28313697826 29530618936 43241263442 46567514476 56627395652 86482526884 93135028952 99097942391 113254791304 151344422047 172965053768 184039035869 198195884782 302688844094 368078071738 396391769564 580430805433 605377688188 736156143476 792783539128 1160861610866 1210755376376 1288273251083 1472312286952 2321723221732 2576546502166 4063015638031 4643446443464 5153093004332 7545600470629 8126031276062 10306186008664 15091200941258 16252062552124 30182401882516 32504125104248 52819203294403 60364803765032 105638406588806 211276813177612 422553626355224