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221222401020 = 22335409671113
BaseRepresentation
bin1100111000000111100…
…0011111001111111100
3210011000100222100201000
43032001320133033330
512111030413313040
6245343403450300
721661045245165
oct3160170371774
9704010870630
10221222401020
11859023071a5
1236a5ab26990
1317b2703250a
14a9c888876c
155b4b6a3130
hex3381e1f3fc

221222401020 has 48 divisors (see below), whose sum is σ = 688247471520. Its totient is φ = 58992640128.

The previous prime is 221222401013. The next prime is 221222401061. The reversal of 221222401020 is 20104222122.

221222401020 is a `hidden beast` number, since 2 + 21 + 222 + 401 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 221222400984 and 221222401002.

It is a congruent number.

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, 204835017 + ... + 204836096.

It is an arithmetic number, because the mean of its divisors is an integer number (14338488990).

Almost surely, 2221222401020 is an apocalyptic number.

221222401020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222401020 is an abundant number, since it is smaller than the sum of its proper divisors (467025070500).

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

221222401020 is a wasteful number, since it uses less digits than its factorization.

221222401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409671131 (or 409671123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222401020 its reverse (20104222122), we get a palindrome (241326623142).

The spelling of 221222401020 in words is "two hundred twenty-one billion, two hundred twenty-two million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 409671113 819342226 1229013339 1638684452 2048355565 2458026678 3687040017 4096711130 4916053356 6145066695 7374080034 8193422260 11061120051 12290133390 14748160068 18435200085 22122240102 24580266780 36870400170 44244480204 55305600255 73740800340 110611200510 221222401020