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223421401424 = 24132944982493
BaseRepresentation
bin1101000000010011110…
…1000000100101010000
3210100200121210011011102
43100010331000211100
512130031334321144
6250345520003532
722066406402114
oct3200475004520
9710617704142
10223421401424
1186830613801
12373734605a8
13180b77a3ba0
14ab56945744
155c29773b4e
hex3404f40950

223421401424 has 80 divisors (see below), whose sum is σ = 483332346000. Its totient is φ = 99338846208.

The previous prime is 223421401397. The next prime is 223421401447. The reversal of 223421401424 is 424104124322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41119728400 + 182301673024 = 202780^2 + 426968^2 .

It is a super-2 number, since 2×2234214014242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667122 + ... + 2749614.

It is an arithmetic number, because the mean of its divisors is an integer number (6041654325).

Almost surely, 2223421401424 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 223421401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241666173000).

223421401424 is an abundant number, since it is smaller than the sum of its proper divisors (259910944576).

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

223421401424 is a wasteful number, since it uses less digits than its factorization.

223421401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82992 (or 82986 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 223421401424 its reverse (424104124322), we get a palindrome (647525525746).

The spelling of 223421401424 in words is "two hundred twenty-three billion, four hundred twenty-one million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 449 464 754 898 1508 1796 3016 3592 5837 6032 7184 11674 13021 23348 26042 46696 52084 82493 93392 104168 164986 169273 208336 329972 338546 659944 677092 1072409 1319888 1354184 2144818 2392297 2708368 4289636 4784594 8579272 9569188 17158544 19138376 31099861 37039357 38276752 62199722 74078714 124399444 148157428 248798888 296314856 481511641 497597776 592629712 963023282 1074141353 1926046564 2148282706 3852093128 4296565412 7704186256 8593130824 13963837589 17186261648 27927675178 55855350356 111710700712 223421401424