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20000233372 = 22721723499523
BaseRepresentation
bin10010101000000110…
…110101011110011100
31220121211222010101011
4102220012311132130
5311430024431442
613104334225004
71305424115200
oct225006653634
956554863334
1020000233372
118533679399
123a62055164
131b69759c22
14d7a346b00
157c0cb5117
hex4a81b579c

20000233372 has 144 divisors (see below), whose sum is σ = 45160416000. Its totient is φ = 7686379008.

The previous prime is 20000233289. The next prime is 20000233373. The reversal of 20000233372 is 27333200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000233373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38241103 + ... + 38241625.

It is an arithmetic number, because the mean of its divisors is an integer number (313614000).

Almost surely, 220000233372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000233372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580208000).

20000233372 is an abundant number, since it is smaller than the sum of its proper divisors (25160182628).

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

20000233372 is a wasteful number, since it uses less digits than its factorization.

20000233372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

Adding to 20000233372 its reverse (27333200002), we get a palindrome (47333433374).

The spelling of 20000233372 in words is "twenty billion, two hundred thirty-three thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 119 161 196 238 322 391 476 499 523 644 782 833 998 1046 1127 1564 1666 1996 2092 2254 2737 3332 3493 3661 4508 5474 6986 7322 8483 8891 10948 11477 12029 13972 14644 16966 17782 19159 22954 24058 24451 25627 33932 35564 38318 45908 48116 48902 51254 59381 62237 76636 80339 84203 97804 102508 118762 124474 160678 168406 195109 204493 237524 248948 260977 321356 336812 390218 408986 415667 435659 521954 562373 589421 780436 817972 831334 871318 1043908 1124746 1178842 1365763 1431451 1662668 1742636 1826839 2249492 2357684 2731526 2862902 3653678 4436609 5463052 5725804 6002471 7307356 8873218 9560341 10020157 12004942 12787873 17746436 19120682 20040314 24009884 25575746 31056263 38241364 40080628 42017297 51151492 62112526 84034594 102042007 124225052 168069188 204084014 217393841 294121079 408168028 434787682 588242158 714294049 869575364 1176484316 1428588098 2857176196 5000058343 10000116686 20000233372