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222901071376 = 241725321312
BaseRepresentation
bin1100111110010111110…
…0000110111000010000
3210022100100200122112011
43033211330012320100
512123000133241001
6250222131312304
722050460562644
oct3174574067020
9708310618464
10222901071376
1186593931075
123724914b694
1318033a51399
14ab077bac24
155be8c41d51
hex33e5f06e10

222901071376 has 135 divisors (see below), whose sum is σ = 471185328103. Its totient is φ = 102129863680.

The previous prime is 222901071361. The next prime is 222901071409. The reversal of 222901071376 is 673170109222.

The square root of 222901071376 is 472124.

It is a perfect power (a square), and thus also a powerful number.

222901071376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55849032976 + 167052038400 = 236324^2 + 408720^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1701534831 + ... + 1701534961.

Almost surely, 2222901071376 is an apocalyptic number.

222901071376 is the 472124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222901071376

222901071376 is an abundant number, since it is smaller than the sum of its proper divisors (248284256727).

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

222901071376 is an equidigital number, since it uses as much as digits as its factorization.

222901071376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 222901071376 in words is "two hundred twenty-two billion, nine hundred one million, seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 53 68 106 131 136 212 262 272 289 424 524 578 848 901 1048 1156 1802 2096 2227 2312 2809 3604 4454 4624 5618 6943 7208 8908 11236 13886 14416 15317 17161 17816 22472 27772 30634 34322 35632 37859 44944 47753 55544 61268 68644 75718 95506 111088 118031 122536 137288 151436 191012 236062 245072 274576 291737 302872 367979 382024 472124 583474 605744 735958 764048 811801 909533 944248 1166948 1471916 1623602 1819066 1888496 2006527 2333896 2943832 3247204 3638132 4013054 4667792 4959529 5887664 6255643 6494408 7276264 8026108 9919058 12511286 12988816 14552528 15462061 16052216 19838116 25022572 30924122 32104432 39676232 48205249 50045144 61848244 79352464 96410498 100090288 106345931 123696488 192820996 212691862 247392976 262855037 385641992 425383724 525710074 771283984 819489233 850767448 1051420148 1638978466 1701534896 2102840296 3277956932 4205680592 6555913864 13111827728 13931316961 27862633922 55725267844 111450535688 222901071376