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222020440422 = 231119383462271
BaseRepresentation
bin1100111011000101110…
…0110001000101100110
3210020001222121221221220
43032301130301011212
512114144213043142
6245554512321210
722016605414524
oct3166134610546
9706058557856
10222020440422
1186181828aa0
1237042243206
1317c23479b91
14aa62863314
155b9678e2ec
hex33b1731166

222020440422 has 64 divisors (see below), whose sum is σ = 511235850240. Its totient is φ = 63571370400.

The previous prime is 222020440399. The next prime is 222020440457. The reversal of 222020440422 is 224044020222.

222020440422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222020440392 and 222020440401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249147 + ... + 711417.

It is an arithmetic number, because the mean of its divisors is an integer number (7988060160).

Almost surely, 2222020440422 is an apocalyptic number.

222020440422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222020440422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255617925120).

222020440422 is an abundant number, since it is smaller than the sum of its proper divisors (289215409818).

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

222020440422 is a wasteful number, since it uses less digits than its factorization.

222020440422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462689.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 222020440422 its reverse (224044020222), we get a palindrome (446064460644).

The spelling of 222020440422 in words is "two hundred twenty-two billion, twenty million, four hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 383 418 627 766 1149 1254 2298 4213 7277 8426 12639 14554 21831 25278 43662 80047 160094 240141 462271 480282 924542 1386813 2773626 5084981 8783149 10169962 15254943 17566298 26349447 30509886 52698894 96614639 177049793 193229278 289843917 354099586 531149379 579687834 1062298758 1947547723 3363946067 3895095446 5842643169 6727892134 10091838201 11685286338 20183676402 37003406737 74006813474 111010220211 222020440422