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222201221220020 = 225723616071863683
BaseRepresentation
bin110010100001011101000000…
…110111000000011010110100
31002010202020012011011111121202
4302201131000313000122310
5213111021100113020040
62104325455401432032
764542336255106640
oct6241350067003264
91063666164144552
10222201221220020
1164889010672009
1220b0810349b618
1396ca64013a133
143cc284caa7c20
151aa4e6c6a5015
hexca1740dc06b4

222201221220020 has 192 divisors, whose sum is σ = 566523676164096. Its totient is φ = 71558232261120.

The previous prime is 222201221219983. The next prime is 222201221220029. The reversal of 222201221220020 is 20022122102222.

It is a super-3 number, since 3×2222012212200203 (a number of 44 digits) contains 333 as substring.

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 = 222201221219974 and 222201221220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222201221220029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118295099 + ... + 120158781.

It is an arithmetic number, because the mean of its divisors is an integer number (2950644146688).

Almost surely, 2222201221220020 is an apocalyptic number.

222201221220020 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 222201221220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283261838082048).

222201221220020 is an abundant number, since it is smaller than the sum of its proper divisors (344322454944076).

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

222201221220020 is a wasteful number, since it uses less digits than its factorization.

222201221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864390 (or 1864388 counting only the distinct ones).

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

Adding to 222201221220020 its reverse (20022122102222), we get a palindrome (242223343322242).

The spelling of 222201221220020 in words is "two hundred twenty-two trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty thousand, twenty".