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2133194940 = 223553114159
BaseRepresentation
bin111111100100101…
…1111100010111100
312111122222112100000
41333021133202330
513332044214230
6551401434300
7103601600142
oct17711374274
95448875300
102133194940
119a5150a28
124b649b990
1327cc41136
1416344b592
15c7422b60
hex7f25f8bc

2133194940 has 144 divisors (see below), whose sum is σ = 6927298560. Its totient is φ = 550463040.

The previous prime is 2133194927. The next prime is 2133194941. The reversal of 2133194940 is 494913312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2133194895 and 2133194904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133194941) 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, 143581 + ... + 157739.

It is an arithmetic number, because the mean of its divisors is an integer number (48106240).

Almost surely, 22133194940 is an apocalyptic number.

2133194940 is a gapful number since it is divisible by the number (20) 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 2133194940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463649280).

2133194940 is an abundant number, since it is smaller than the sum of its proper divisors (4794103620).

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

2133194940 is a wasteful number, since it uses less digits than its factorization.

2133194940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2133194940 is about 46186.5233590925. The cubic root of 2133194940 is about 1287.2913419359.

The spelling of 2133194940 in words is "two billion, one hundred thirty-three million, one hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 243 270 279 310 324 372 405 465 486 540 558 620 810 837 930 972 1116 1215 1395 1620 1674 1860 2430 2511 2790 3348 4185 4860 5022 5580 7533 8370 10044 12555 14159 15066 16740 25110 28318 30132 37665 42477 50220 56636 70795 75330 84954 127431 141590 150660 169908 212385 254862 283180 382293 424770 438929 509724 637155 764586 849540 877858 1146879 1274310 1316787 1529172 1755716 1911465 2194645 2293758 2548620 2633574 3440637 3822930 3950361 4389290 4587516 5267148 5734395 6583935 6881274 7645860 7900722 8778580 11468790 11851083 13167870 13762548 15801444 17203185 19751805 22937580 23702166 26335740 34406370 35553249 39503610 47404332 59255415 68812740 71106498 79007220 106659747 118510830 142212996 177766245 213319494 237021660 355532490 426638988 533298735 711064980 1066597470 2133194940