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1044227100 = 2235273471433
BaseRepresentation
bin111110001111011…
…010010000011100
32200202220020021210
4332033122100130
54114310231400
6251341224420
734606532610
oct7617322034
92622806253
101044227100
11496491304
12251862110
13138453a77
149c981340
1561a1a950
hex3e3da41c

1044227100 has 144 divisors (see below), whose sum is σ = 3465278208. Its totient is φ = 237826560.

The previous prime is 1044227077. The next prime is 1044227101. The reversal of 1044227100 is 17224401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044227101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727984 + ... + 729416.

It is an arithmetic number, because the mean of its divisors is an integer number (24064432).

Almost surely, 21044227100 is an apocalyptic number.

1044227100 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 1044227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732639104).

1044227100 is an abundant number, since it is smaller than the sum of its proper divisors (2421051108).

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

1044227100 is a wasteful number, since it uses less digits than its factorization.

1044227100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1044227100 is about 32314.5029359884. The cubic root of 1044227100 is about 1014.5302168891.

The spelling of 1044227100 in words is "one billion, forty-four million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 347 350 420 525 694 700 1041 1050 1388 1433 1735 2082 2100 2429 2866 3470 4164 4299 4858 5205 5732 6940 7165 7287 8598 8675 9716 10031 10410 12145 14330 14574 17196 17350 20062 20820 21495 24290 26025 28660 29148 30093 34700 35825 36435 40124 42990 48580 50155 52050 60186 60725 71650 72870 85980 100310 104100 107475 120372 121450 143300 145740 150465 182175 200620 214950 242900 250775 300930 364350 429900 497251 501550 601860 728700 752325 994502 1003100 1491753 1504650 1989004 2486255 2983506 3009300 3480757 4972510 5967012 6961514 7458765 9945020 10442271 12431275 13923028 14917530 17403785 20884542 24862550 29835060 34807570 37293825 41769084 49725100 52211355 69615140 74587650 87018925 104422710 149175300 174037850 208845420 261056775 348075700 522113550 1044227100