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2133233010 = 23454373839
BaseRepresentation
bin111111100100110…
…1000110101110010
312111200001110120000
41333021220311302
513332101424020
6551402330430
7103602116136
oct17711506562
95450043500
102133233010
119a5177597
124b64b9a16
1327cc5556c
1416345b3c6
15c742e090
hex7f268d72

2133233010 has 160 divisors (see below), whose sum is σ = 5956917120. Its totient is φ = 547368192.

The previous prime is 2133232963. The next prime is 2133233023. The reversal of 2133233010 is 103323312.

2133233010 is a `hidden beast` number, since 2 + 1 + 332 + 330 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2542171 + ... + 2543009.

It is an arithmetic number, because the mean of its divisors is an integer number (37230732).

Almost surely, 22133233010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978458560).

2133233010 is an abundant number, since it is smaller than the sum of its proper divisors (3823684110).

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

2133233010 is a wasteful number, since it uses less digits than its factorization.

2133233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133233010 is about 46186.9354904609. The cubic root of 2133233010 is about 1287.2989997592.

Adding to 2133233010 its reverse (103323312), we get a palindrome (2236556322).

The spelling of 2133233010 in words is "two billion, one hundred thirty-three million, two hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 73 81 86 90 129 135 146 162 215 219 258 270 365 387 405 430 438 645 657 730 774 810 839 1095 1161 1290 1314 1678 1935 1971 2190 2322 2517 3139 3285 3483 3870 3942 4195 5034 5805 5913 6278 6570 6966 7551 8390 9417 9855 11610 11826 12585 15102 15695 17415 18834 19710 22653 25170 28251 29565 31390 34830 36077 37755 45306 47085 56502 59130 61247 67959 72154 75510 84753 94170 108231 113265 122494 135918 141255 169506 180385 183741 216462 226530 254259 282510 306235 324693 339795 360770 367482 423765 508518 541155 551223 612470 649386 679590 847530 918705 974079 1082310 1102446 1271295 1623465 1653669 1837410 1948158 2542590 2633621 2756115 2922237 3246930 3307338 4870395 4961007 5267242 5512230 5844474 7900863 8268345 9740790 9922014 13168105 14611185 15801726 16536690 23702589 24805035 26336210 29222370 39504315 47405178 49610070 71107767 79008630 118512945 142215534 213323301 237025890 355538835 426646602 711077670 1066616505 2133233010