Search a number
-
+
2022230033010 = 2335114671457999
BaseRepresentation
bin11101011011010110010…
…011011000001001110010
321011022201200120112102000
4131123112103120021302
5231113011342024020
64144555531434430
7266046513444645
oct35332623301162
97138650515360
102022230033010
1170a6941526a0
12287b088b5a16
13118906c57665
146dc3adcda5c
15379098e9090
hex1d6d64d8272

2022230033010 has 128 divisors (see below), whose sum is σ = 5895452160000. Its totient is φ = 489187488960.

The previous prime is 2022230032967. The next prime is 2022230033029. The reversal of 2022230033010 is 103300322202.

It is a happy number.

2022230033010 is a `hidden beast` number, since 2 + 0 + 2 + 22 + 300 + 330 + 10 = 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 63 ways as a sum of consecutive naturals, for example, 657991 + ... + 2115989.

It is an arithmetic number, because the mean of its divisors is an integer number (46058220000).

Almost surely, 22022230033010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022230033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947726080000).

2022230033010 is an abundant number, since it is smaller than the sum of its proper divisors (3873222126990).

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

2022230033010 is a wasteful number, since it uses less digits than its factorization.

2022230033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458493 (or 1458487 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2022230033010 its reverse (103300322202), we get a palindrome (2125530355212).

The spelling of 2022230033010 in words is "two trillion, twenty-two billion, two hundred thirty million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 467 495 594 934 990 1401 1485 2335 2802 2970 4203 4670 5137 7005 8406 10274 12609 14010 15411 21015 25218 25685 30822 42030 46233 51370 63045 77055 92466 126090 138699 154110 231165 277398 462330 693495 1386990 1457999 2915998 4373997 7289995 8747994 13121991 14579990 16037989 21869985 26243982 32075978 39365973 43739970 48113967 65609955 78731946 80189945 96227934 131219910 144341901 160379890 196829865 240569835 288683802 393659730 433025703 481139670 680885533 721709505 866051406 1361771066 1443419010 2042656599 2165128515 3404427665 4085313198 4330257030 6127969797 6808855330 7489740863 10213282995 12255939594 14979481726 18383909391 20426565990 22469222589 30639848985 36767818782 37448704315 44938445178 61279697970 67407667767 74897408630 91919546955 112346112945 134815335534 183839093910 202223003301 224692225890 337038338835 404446006602 674076677670 1011115016505 2022230033010