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220221120222 = 2352354736017
BaseRepresentation
bin1100110100011000110…
…0111001111011011110
3210001102120220000200000
43031012030321323132
512102003101321342
6245100154515130
721624166431165
oct3150614717336
9701376800600
10220221120222
1185439099104
123681b735aa6
13179c776737c
14a9318c63dc
155add81c44c
hex3346339ede

220221120222 has 96 divisors (see below), whose sum is σ = 517289939712. Its totient is φ = 70085119104.

The previous prime is 220221120211. The next prime is 220221120233. The reversal of 220221120222 is 222021122022.

220221120222 is a `hidden beast` number, since 220 + 221 + 1 + 2 + 0 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (220221120211) and next prime (220221120233).

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

It is a junction number, because it is equal to n+sod(n) for n = 220221120195 and 220221120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6096358 + ... + 6132374.

It is an arithmetic number, because the mean of its divisors is an integer number (5388436872).

Almost surely, 2220221120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258644969856).

220221120222 is an abundant number, since it is smaller than the sum of its proper divisors (297068819490).

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

220221120222 is a wasteful number, since it uses less digits than its factorization.

220221120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36604 (or 36592 counting only the distinct ones).

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

Adding to 220221120222 its reverse (222021122022), we get a palindrome (442242242244).

The spelling of 220221120222 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 547 621 1094 1242 1641 1863 3282 3726 4923 5589 9846 11178 12581 14769 25162 29538 36017 37743 44307 72034 75486 88614 108051 113229 132921 216102 226458 265842 324153 339687 648306 679374 828391 972459 1019061 1656782 1944918 2038122 2485173 2917377 3057183 4970346 5834754 6114366 7455519 8752131 14911038 17504262 19701299 22366557 39402598 44733114 59103897 67099671 118207794 134199342 177311691 201299013 354623382 402598026 453129877 531935073 906259754 1063870146 1359389631 1595805219 2718779262 3191610438 4078168893 4787415657 8156337786 9574831314 12234506679 24469013358 36703520037 73407040074 110110560111 220221120222