Search a number
-
+
20221221002202 = 232113716301169327
BaseRepresentation
bin1001001100100000111101…
…01100011101101111011010
32122121010111122210210112200
410212100132230131233122
510122301030034032302
6111001300051551030
74154635464352653
oct446203654355732
978533448723480
1020221221002202
1164968540a9290
122327011bbb476
13b38b11c4663c
144dc9d886052a
1525100135e81c
hex12641eb1dbda

20221221002202 has 96 divisors (see below), whose sum is σ = 49090687835904. Its totient is φ = 5961629808000.

The previous prime is 20221221002027. The next prime is 20221221002261. The reversal of 20221221002202 is 20220012212202.

20221221002202 is a `hidden beast` number, since 2 + 0 + 221 + 221 + 0 + 0 + 220 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 119336463 + ... + 119505789.

It is an arithmetic number, because the mean of its divisors is an integer number (511361331624).

Almost surely, 220221221002202 is an apocalyptic number.

20221221002202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221221002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24545343917952).

20221221002202 is an abundant number, since it is smaller than the sum of its proper divisors (28869466833702).

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

20221221002202 is a wasteful number, since it uses less digits than its factorization.

20221221002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185684 (or 185681 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20221221002202 its reverse (20220012212202), we get a palindrome (40441233214404).

The spelling of 20221221002202 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 16301 32602 48903 97806 146709 169327 179311 293418 338654 358622 507981 537933 603137 1015962 1075866 1206274 1523943 1613799 1809411 1862597 3047886 3227598 3618822 3725194 5428233 5587791 6265099 6634507 10856466 11175582 12530198 13269014 16763373 18795297 19903521 33526746 37590594 39807042 56385891 59710563 68916089 112771782 119421126 137832178 206748267 413496534 620244801 1240489602 2760199427 5520398854 8280598281 16561196562 24841794843 30362193697 49683589686 60724387394 91086581091 102127378799 182173162182 204254757598 273259743273 306382136397 546519486546 612764272794 919146409191 1123401166789 1838292818382 2246802333578 3370203500367 6740407000734 10110610501101 20221221002202