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4224526164 = 223429449609
BaseRepresentation
bin1111101111001101…
…0010011101010100
3101220102012011110000
43323303102131110
532122434314124
61535110131300
7206454610545
oct37363223524
911812164400
104224526164
1118786a9041
1299a950b30
135242b5331
142c10bc4cc
1519ad266c9
hexfbcd2754

4224526164 has 60 divisors (see below), whose sum is σ = 11424590100. Its totient is φ = 1359614592.

The previous prime is 4224526123. The next prime is 4224526183. The reversal of 4224526164 is 4616254224.

4224526164 is a `hidden beast` number, since 42 + 2 + 452 + 6 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2309763600 + 1914762564 = 48060^2 + 43758^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215409 + ... + 234200.

It is an arithmetic number, because the mean of its divisors is an integer number (190409835).

Almost surely, 24224526164 is an apocalyptic number.

It is an amenable number.

4224526164 is an abundant number, since it is smaller than the sum of its proper divisors (7200063936).

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

4224526164 is a wasteful number, since it uses less digits than its factorization.

4224526164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449654 (or 449643 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4224526164 is about 64996.3550054924. The cubic root of 4224526164 is about 1616.5631252543.

The spelling of 4224526164 in words is "four billion, two hundred twenty-four million, five hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 449609 899218 1348827 1798436 2697654 4046481 5395308 8092962 12139443 13038661 16185924 24278886 26077322 36418329 39115983 48557772 52154644 72836658 78231966 117347949 145673316 156463932 234695898 352043847 469391796 704087694 1056131541 1408175388 2112263082 4224526164