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1044302220 = 223551316529
BaseRepresentation
bin111110001111101…
…100100110001100
32200210001001100000
4332033230212030
54114320132340
6251343004300
734610264613
oct7617544614
92623031300
101044302220
11496532795
12251899690
1313847c010
149c9a087a
1561a32d30
hex3e3ec98c

1044302220 has 144 divisors (see below), whose sum is σ = 3537948960. Its totient is φ = 257043456.

The previous prime is 1044302191. The next prime is 1044302251. The reversal of 1044302220 is 222034401.

1044302220 is a `hidden beast` number, since 1 + 0 + 443 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1044302193 and 1044302202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54916 + ... + 71444.

It is an arithmetic number, because the mean of its divisors is an integer number (24569090).

Almost surely, 21044302220 is an apocalyptic number.

1044302220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768974480).

1044302220 is an abundant number, since it is smaller than the sum of its proper divisors (2493646740).

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

1044302220 is a wasteful number, since it uses less digits than its factorization.

1044302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16566 (or 16552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1044302220 is about 32315.6652414893. The cubic root of 1044302220 is about 1014.5545441906.

Adding to 1044302220 its reverse (222034401), we get a palindrome (1266336621).

The spelling of 1044302220 in words is "one billion, forty-four million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 16529 21060 31590 33058 49587 63180 66116 82645 99174 148761 165290 198348 214877 247935 297522 330580 429754 446283 495870 595044 644631 743805 859508 892566 991740 1074385 1289262 1338849 1487610 1785132 1933893 2148770 2231415 2578524 2677698 2975220 3223155 3867786 4016547 4297540 4462830 5355396 5801679 6446310 6694245 7735572 8033094 8925660 9669465 11603358 12892620 13388490 16066188 17405037 19338930 20082735 23206716 26776980 29008395 34810074 38677860 40165470 52215111 58016790 69620148 80330940 87025185 104430222 116033580 174050370 208860444 261075555 348100740 522151110 1044302220