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221221202020220 = 225274133291212199
BaseRepresentation
bin110010010011001100010011…
…001010011100011101111100
31002000021112120221010220012202
4302103030103022130131330
5212443442010204121340
62102255341153051032
764411463420260463
oct6223142312343574
91060245527126182
10221221202020220
1164540426352036
122098a198b56a78
1396590ba5860bc
143c8b2401899da
151a89710165c15
hexc9331329c77c

221221202020220 has 48 divisors (see below), whose sum is σ = 464873996664000. Its totient is φ = 88429553172480.

The previous prime is 221221202020171. The next prime is 221221202020229. The reversal of 221221202020220 is 22020202122122.

221221202020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221221202020192 and 221221202020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221202020229) 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, 181889681 + ... + 183101879.

It is an arithmetic number, because the mean of its divisors is an integer number (9684874930500).

Almost surely, 2221221202020220 is an apocalyptic number.

221221202020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221202020220 is an abundant number, since it is smaller than the sum of its proper divisors (243652794643780).

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

221221202020220 is a wasteful number, since it uses less digits than its factorization.

221221202020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218278 (or 1218276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221221202020220 its reverse (22020202122122), we get a palindrome (243241404142342).

The spelling of 221221202020220 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2741 3329 5482 6658 10964 13316 13705 16645 27410 33290 54820 66580 1212199 2424398 4848796 6060995 9124789 12121990 18249578 24243980 36499156 45623945 91247890 182495780 3322637459 4035410471 6645274918 8070820942 13290549836 16141641884 16613187295 20177052355 33226374590 40354104710 66452749180 80708209420 11061060101011 22122120202022 44244240404044 55305300505055 110610601010110 221221202020220