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4444466220 = 2233534723719
BaseRepresentation
bin1000010001110100…
…10010110000101100
3102110202001021111000
410020322102300230
533100240404340
62013004200300
7215065224315
oct41072226054
912422037430
104444466220
111980870287
12a40539090
1355aa3168c
143023b160c
151b02bdd30
hex108e92c2c

4444466220 has 96 divisors (see below), whose sum is σ = 13867660800. Its totient is φ = 1181725632.

The previous prime is 4444466153. The next prime is 4444466237. The reversal of 4444466220 is 226644444.

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

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 31 ways as a sum of consecutive naturals, for example, 175521 + ... + 199239.

It is an arithmetic number, because the mean of its divisors is an integer number (144454800).

Almost surely, 24444466220 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 4444466220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933830400).

4444466220 is an abundant number, since it is smaller than the sum of its proper divisors (9423194580).

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

4444466220 is a wasteful number, since it uses less digits than its factorization.

4444466220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084 (or 24076 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4444466220 is about 66666.8299831333. The cubic root of 4444466220 is about 1644.1440680395.

The spelling of 4444466220 in words is "four billion, four hundred forty-four million, four hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 347 540 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 9369 10410 12492 15615 18738 20820 23719 31230 37476 46845 47438 62460 71157 93690 94876 118595 142314 187380 213471 237190 284628 355785 426942 474380 640413 711570 853884 1067355 1280826 1423140 2134710 2561652 3202065 4269420 6404130 8230493 12808260 16460986 24691479 32921972 41152465 49382958 74074437 82304930 98765916 123457395 148148874 164609860 222223311 246914790 296297748 370372185 444446622 493829580 740744370 888893244 1111116555 1481488740 2222233110 4444466220