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20221221200 = 24521719156511
BaseRepresentation
bin10010110101010001…
…110101100101010000
31221012020210110200112
4102311101311211100
5312403113034300
613142310540452
71314046354445
oct226521654520
957166713615
1020221221200
118637396864
123b04067728
131ba348215b
14d9b82d9cc
157d53b7e35
hex4b5475950

20221221200 has 120 divisors (see below), whose sum is σ = 54146891520. Its totient is φ = 7211980800.

The previous prime is 20221221187. The next prime is 20221221233. The reversal of 20221221200 is 212212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50945 + ... + 207455.

It is an arithmetic number, because the mean of its divisors is an integer number (451224096).

Almost surely, 220221221200 is an apocalyptic number.

20221221200 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 20221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27073445760).

20221221200 is an abundant number, since it is smaller than the sum of its proper divisors (33925670320).

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

20221221200 is a wasteful number, since it uses less digits than its factorization.

20221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156565 (or 156554 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20221221200 its reverse (212212202), we get a palindrome (20433433402).

The spelling of 20221221200 in words is "twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 34 38 40 50 68 76 80 85 95 100 136 152 170 190 200 272 304 323 340 380 400 425 475 646 680 760 850 950 1292 1360 1520 1615 1700 1900 2584 3230 3400 3800 5168 6460 6800 7600 8075 12920 16150 25840 32300 64600 129200 156511 313022 626044 782555 1252088 1565110 2504176 2660687 2973709 3130220 3912775 5321374 5947418 6260440 7825550 10642748 11894836 12520880 13303435 14868545 15651100 21285496 23789672 26606870 29737090 31302200 42570992 47579344 50553053 53213740 59474180 62604400 66517175 74342725 101106106 106427480 118948360 133034350 148685450 202212212 212854960 237896720 252765265 266068700 297370900 404424424 505530530 532137400 594741800 808848848 1011061060 1064274800 1189483600 1263826325 2022122120 2527652650 4044244240 5055305300 10110610600 20221221200