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1104440220 = 22325132320521
BaseRepresentation
bin100000111010100…
…0110101110011100
32211222012101011100
41001311012232130
54230214041340
6301331553100
736240405222
oct10165065634
92758171140
101104440220
11517478314
12269a5b790
13147a76a30
14a6976b12
1566e61830
hex41d46b9c

1104440220 has 144 divisors (see below), whose sum is σ = 3764884032. Its totient is φ = 260029440.

The previous prime is 1104440177. The next prime is 1104440231. The reversal of 1104440220 is 220444011.

1104440220 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 440 + 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 = 1104440193 and 1104440202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43560 + ... + 64080.

It is an arithmetic number, because the mean of its divisors is an integer number (26145028).

Almost surely, 21104440220 is an apocalyptic number.

1104440220 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 1104440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882442016).

1104440220 is an abundant number, since it is smaller than the sum of its proper divisors (2660443812).

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

1104440220 is a wasteful number, since it uses less digits than its factorization.

1104440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1104440220 is about 33233.1193239515. The cubic root of 1104440220 is about 1033.6672055602.

Adding to 1104440220 its reverse (220444011), we get a palindrome (1324884231).

The spelling of 1104440220 in words is "one billion, one hundred four million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 20521 26910 41042 53820 61563 82084 102605 123126 184689 205210 246252 266773 307815 369378 410420 471983 533546 615630 738756 800319 923445 943966 1067092 1231260 1333865 1415949 1600638 1846890 1887932 2359915 2400957 2667730 2831898 3201276 3693780 4001595 4247847 4719830 4801914 5335460 5663796 6135779 7079745 8003190 8495694 9439660 9603828 12004785 12271558 14159490 16006380 16991388 18407337 21239235 24009570 24543116 28318980 30678895 36814674 42478470 48019140 55222011 61357790 73629348 84956940 92036685 110444022 122715580 184073370 220888044 276110055 368146740 552220110 1104440220