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4224243420 = 2233519739709
BaseRepresentation
bin1111101111001000…
…1101011011011100
3101220101122210121000
43323302031123130
532122401242140
61535100110300
7206452322325
oct37362153334
911811583530
104224243420
111878525671
1299a835390
13524216727
142c104744c
1519acbca30
hexfbc8d6dc

4224243420 has 96 divisors (see below), whose sum is σ = 13209134400. Its totient is φ = 1120718592.

The previous prime is 4224243371. The next prime is 4224243431. The reversal of 4224243420 is 243424224.

4224243420 is a `hidden beast` number, since 4 + 224 + 2 + 434 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 86526 + ... + 126234.

It is an arithmetic number, because the mean of its divisors is an integer number (137595150).

Almost surely, 24224243420 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 4224243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604567200).

4224243420 is an abundant number, since it is smaller than the sum of its proper divisors (8984890980).

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

4224243420 is a wasteful number, since it uses less digits than its factorization.

4224243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39916 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4224243420 is about 64994.1798932797. The cubic root of 4224243420 is about 1616.5270593773.

Adding to 4224243420 its reverse (243424224), we get a palindrome (4467667644).

The spelling of 4224243420 in words is "four billion, two hundred twenty-four million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 26595 35460 39709 53190 79418 106380 119127 158836 198545 238254 357381 397090 476508 595635 714762 794180 1072143 1191270 1429524 1786905 2144286 2382540 3573810 4288572 5360715 7147620 7822673 10721430 15645346 21442860 23468019 31290692 39113365 46936038 70404057 78226730 93872076 117340095 140808114 156453460 211212171 234680190 281616228 352020285 422424342 469360380 704040570 844848684 1056060855 1408081140 2112121710 4224243420