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20221212320 = 2554725710463
BaseRepresentation
bin10010110101010001…
…110011011010100000
31221012020210000111122
4102311101303122200
5312403112243240
613142310431412
71314046316531
oct226521633240
957166700448
1020221212320
118637390121
123b04062568
131ba347b0ba
14d9b82a688
157d53b54b5
hex4b54736a0

20221212320 has 96 divisors (see below), whose sum is σ = 48983574528. Its totient is φ = 7884832768.

The previous prime is 20221212311. The next prime is 20221212331. The reversal of 20221212320 is 2321212202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927409 + ... + 1937871.

It is an arithmetic number, because the mean of its divisors is an integer number (510245568).

Almost surely, 220221212320 is an apocalyptic number.

20221212320 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 20221212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491787264).

20221212320 is an abundant number, since it is smaller than the sum of its proper divisors (28762362208).

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

20221212320 is a wasteful number, since it uses less digits than its factorization.

20221212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20221212320 its reverse (2321212202), we get a palindrome (22542424522).

The spelling of 20221212320 in words is "twenty billion, two hundred twenty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 257 376 470 514 752 940 1028 1285 1504 1880 2056 2570 3760 4112 5140 7520 8224 10280 10463 12079 20560 20926 24158 41120 41852 48316 52315 60395 83704 96632 104630 120790 167408 193264 209260 241580 334816 386528 418520 483160 491761 837040 966320 983522 1674080 1932640 1967044 2458805 2688991 3934088 4917610 5377982 7868176 9835220 10755964 13444955 15736352 19670440 21511928 26889910 39340880 43023856 53779820 78681760 86047712 107559640 126382577 215119280 252765154 430238560 505530308 631912885 1011060616 1263825770 2022121232 2527651540 4044242464 5055303080 10110606160 20221212320