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222066042512 = 24192169322709
BaseRepresentation
bin1100111011010000101…
…0101110011010010000
3210020012011102210021012
43032310022232122100
512114242401330022
6250003221550052
722021001134316
oct3166412563220
9706164383235
10222066042512
11861a5545576
1237055575328
1317c2ca55572
14aa689340b6
155b9a79ade2
hex33b42ae690

222066042512 has 60 divisors (see below), whose sum is σ = 454377910140. Its totient is φ = 105122416896.

The previous prime is 222066042479. The next prime is 222066042533. The reversal of 222066042512 is 215240660222.

It can be written as a sum of positive squares in 2 ways, for example, as 28363949056 + 193702093456 = 168416^2 + 440116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9767414 + ... + 9790122.

It is an arithmetic number, because the mean of its divisors is an integer number (7572965169).

Almost surely, 2222066042512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222066042512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227188955070).

222066042512 is an abundant number, since it is smaller than the sum of its proper divisors (232311867628).

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

222066042512 is a wasteful number, since it uses less digits than its factorization.

222066042512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24448 (or 24423 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 222066042512 in words is "two hundred twenty-two billion, sixty-six million, forty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1693 2888 3386 5776 6772 13544 22709 27088 32167 45418 64334 90836 128668 181672 257336 363344 431471 514672 611173 862942 1222346 1725884 2444692 3451768 4889384 6903536 8197949 9778768 16395898 32791796 38446337 65583592 76892674 131167184 153785348 307570696 615141392 730480403 1460960806 2921921612 5843843224 11687686448 13879127657 27758255314 55516510628 111033021256 222066042512