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4224292920 = 2332553221399
BaseRepresentation
bin1111101111001001…
…1001100000111000
3101220101202022111100
43323302121200320
532122404333140
61535101131400
7206452616541
oct37362314070
911811668440
104224292920
111878559881
1299a859b60
13524233113
142c105b4c8
1519accc530
hexfbc99838

4224292920 has 96 divisors (see below), whose sum is σ = 13988052000. Its totient is φ = 1105218816.

The previous prime is 4224292909. The next prime is 4224292921. The reversal of 4224292920 is 292924224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224292921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91620 + ... + 129779.

It is an arithmetic number, because the mean of its divisors is an integer number (145708875).

Almost surely, 24224292920 is an apocalyptic number.

4224292920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224292920 is an abundant number, since it is smaller than the sum of its proper divisors (9763759080).

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

4224292920 is a wasteful number, since it uses less digits than its factorization.

4224292920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221469 (or 221462 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4224292920 is about 64994.5606954920. The cubic root of 4224292920 is about 1616.5333735476.

The spelling of 4224292920 in words is "four billion, two hundred twenty-four million, two hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 221399 442798 664197 885596 1106995 1328394 1771192 1992591 2213990 2656788 3320985 3985182 4427980 5313576 6641970 7970364 8855960 9962955 11734147 13283940 15940728 19925910 23468294 26567880 35202441 39851820 46936588 58670735 70404882 79703640 93873176 105607323 117341470 140809764 176012205 211214646 234682940 281619528 352024410 422429292 469365880 528036615 704048820 844858584 1056073230 1408097640 2112146460 4224292920