Search a number
-
+
20221221222120 = 2335732308358587
BaseRepresentation
bin1001001100100000111101…
…01101010011011011101000
32122121010111200012222012210
410212100132231103123220
510122301030113101440
6111001300100405120
74154635466260062
oct446203655233350
978533450188183
1020221221222120
116496854239536
1223270120a67a0
13b38b11cc2779
144dc9d88ba732
152510013a4a80
hex12641eb536e8

20221221222120 has 64 divisors (see below), whose sum is σ = 61494672784320. Its totient is φ = 5318458182144.

The previous prime is 20221221222113. The next prime is 20221221222121. The reversal of 20221221222120 is 2122212212202.

It is not an unprimeable number, because it can be changed into a prime (20221221222121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154170534 + ... + 1154188053.

It is an arithmetic number, because the mean of its divisors is an integer number (960854262255).

Almost surely, 220221221222120 is an apocalyptic number.

20221221222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221221222120 is an abundant number, since it is smaller than the sum of its proper divisors (41273451562200).

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

20221221222120 is a wasteful number, since it uses less digits than its factorization.

20221221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308358674 (or 2308358670 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20221221222120 its reverse (2122212212202), we get a palindrome (22343433434322).

The spelling of 20221221222120 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 2308358587 4616717174 6925075761 9233434348 11541792935 13850151522 18466868696 23083585870 27700303044 34625378805 46167171740 55400606088 69250757610 92334343480 138501515220 168510176851 277003030440 337020353702 505530530553 674040707404 842550884255 1011061061106 1348081414808 1685101768510 2022122122212 2527652652765 3370203537020 4044244244424 5055305305530 6740407074040 10110610611060 20221221222120