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1133213220 = 223352323967
BaseRepresentation
bin100001110001011…
…0111011000100100
32220222100012022000
41003202313120210
54310100310340
6304240405300
740040103426
oct10342673044
92828305260
101133213220
1153173a957
12277616830
13150a0c389
14aa706816
1569746d30
hex438b7624

1133213220 has 144 divisors (see below), whose sum is σ = 3686430720. Its totient is φ = 288978624.

The previous prime is 1133213117. The next prime is 1133213239. The reversal of 1133213220 is 223123311.

1133213220 is a `hidden beast` number, since 11 + 332 + 1 + 322 + 0 = 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 = 1133213193 and 1133213202.

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, 283677 + ... + 287643.

Almost surely, 21133213220 is an apocalyptic number.

1133213220 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 1133213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843215360).

1133213220 is an abundant number, since it is smaller than the sum of its proper divisors (2553217500).

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

1133213220 is a wasteful number, since it uses less digits than its factorization.

1133213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133213220 is about 33663.2324651095. The cubic root of 1133213220 is about 1042.5667676299.

Adding to 1133213220 its reverse (223123311), we get a palindrome (1356336531).

The spelling of 1133213220 in words is "one billion, one hundred thirty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 529 540 621 690 828 1035 1058 1242 1380 1587 2070 2116 2484 2645 3105 3174 3967 4140 4761 5290 6210 6348 7934 7935 9522 10580 11901 12420 14283 15868 15870 19044 19835 23802 23805 28566 31740 35703 39670 47604 47610 57132 59505 71406 71415 79340 91241 95220 107109 119010 142812 142830 178515 182482 214218 238020 273723 285660 357030 364964 428436 456205 535545 547446 714060 821169 912410 1071090 1094892 1368615 1642338 1824820 2098543 2142180 2463507 2737230 3284676 4105845 4197086 4927014 5474460 6295629 8211690 8394172 9854028 10492715 12317535 12591258 16423380 18886887 20985430 24635070 25182516 31478145 37773774 41970860 49270140 56660661 62956290 75547548 94434435 113321322 125912580 188868870 226642644 283303305 377737740 566606610 1133213220