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1114034220 = 22325131925057
BaseRepresentation
bin100001001100110…
…1101000000101100
32212122020210122200
41002121231000230
54240143043340
6302313341500
736415064115
oct10231550054
92778223580
101114034220
11521930442
12271107890
13149a55860
14a7d5320c
1567c09330
hex4266d02c

1114034220 has 144 divisors (see below), whose sum is σ = 3830867040. Its totient is φ = 259780608.

The previous prime is 1114034219. The next prime is 1114034227. The reversal of 1114034220 is 224304111.

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 = 1114034193 and 1114034202.

It is not an unprimeable number, because it can be changed into a prime (1114034227) 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, 31932 + ... + 56988.

Almost surely, 21114034220 is an apocalyptic number.

1114034220 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 1114034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915433520).

1114034220 is an abundant number, since it is smaller than the sum of its proper divisors (2716832820).

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

1114034220 is a wasteful number, since it uses less digits than its factorization.

1114034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25104 (or 25099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1114034220 is about 33377.1511666289. The cubic root of 1114034220 is about 1036.6516512106.

Adding to 1114034220 its reverse (224304111), we get a palindrome (1338338331).

The spelling of 1114034220 in words is "one billion, one hundred fourteen million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 25057 44460 50114 75171 100228 125285 150342 225513 250570 300684 325741 375855 451026 476083 501140 651482 751710 902052 952166 977223 1127565 1302964 1428249 1503420 1628705 1904332 1954446 2255130 2380415 2856498 2931669 3257410 3908892 4284747 4510260 4760830 4886115 5712996 5863338 6189079 6514820 7141245 8569494 9521660 9772230 11726676 12378158 14282490 14658345 17138988 18567237 19544460 21423735 24756316 28564980 29316690 30945395 37134474 42847470 55701711 58633380 61890790 74268948 85694940 92836185 111403422 123781580 185672370 222806844 278508555 371344740 557017110 1114034220