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4221773028 = 2233118939929
BaseRepresentation
bin1111101110100011…
…0010010011100100
3101220020000021212000
43323220302103210
532121233214103
61534531125300
7206422323114
oct37350622344
911806007760
104221773028
111877098620
12999a43830
13523860165
142c09a3044
1519a980aa3
hexfba324e4

4221773028 has 96 divisors (see below), whose sum is σ = 12074832000. Its totient is φ = 1264919040.

The previous prime is 4221773009. The next prime is 4221773029. The reversal of 4221773028 is 8203771224.

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

It is a junction number, because it is equal to n+sod(n) for n = 4221772983 and 4221773001.

It is not an unprimeable number, because it can be changed into a prime (4221773029) 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 31 ways as a sum of consecutive naturals, for example, 85768 + ... + 125696.

It is an arithmetic number, because the mean of its divisors is an integer number (125779500).

Almost surely, 24221773028 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 4221773028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037416000).

4221773028 is an abundant number, since it is smaller than the sum of its proper divisors (7853058972).

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

4221773028 is a wasteful number, since it uses less digits than its factorization.

4221773028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40042 (or 40034 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4221773028 is about 64975.1723968471. The cubic root of 4221773028 is about 1616.2118759748.

The spelling of 4221773028 in words is "four billion, two hundred twenty-one million, seven hundred seventy-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 11748 17622 26433 35244 39929 52866 79858 105732 119787 159716 239574 359361 439219 479148 718722 878438 1078083 1317657 1437444 1756876 2156166 2635314 3553681 3952971 4312332 5270628 7107362 7905942 10661043 11858913 14214724 15811884 21322086 23717826 31983129 39090491 42644172 47435652 63966258 78180982 95949387 117271473 127932516 156361964 191898774 234542946 351814419 383797548 469085892 703628838 1055443257 1407257676 2110886514 4221773028