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222196071328 = 25711243190649
BaseRepresentation
bin1100111011101111101…
…0101111101110100000
3210020112020002221021021
43032323322233232200
512120024143240303
6250024144535224
722024140305140
oct3167372575640
9706466087237
10222196071328
1186261987100
1237091021514
1317c509811aa
14aa7bd00920
155ba6dd2ebd
hex33bbeafba0

222196071328 has 144 divisors (see below), whose sum is σ = 562304635200. Its totient is φ = 84556200960.

The previous prime is 222196071323. The next prime is 222196071341. The reversal of 222196071328 is 823170691222.

It is a super-2 number, since 2×2221960713282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (222196071323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070148 + ... + 1260796.

It is an arithmetic number, because the mean of its divisors is an integer number (3904893300).

Almost surely, 2222196071328 is an apocalyptic number.

222196071328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222196071328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281152317600).

222196071328 is an abundant number, since it is smaller than the sum of its proper divisors (340108563872).

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

222196071328 is a wasteful number, since it uses less digits than its factorization.

222196071328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190731 (or 190712 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 222196071328 in words is "two hundred twenty-two billion, one hundred ninety-six million, seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 77 86 88 112 121 154 172 176 224 242 301 308 344 352 473 484 602 616 688 847 946 968 1204 1232 1376 1694 1892 1936 2408 2464 3311 3388 3784 3872 4816 5203 6622 6776 7568 9632 10406 13244 13552 15136 20812 26488 27104 36421 41624 52976 72842 83248 105952 145684 166496 190649 291368 381298 582736 762596 1165472 1334543 1525192 2097139 2669086 3050384 4194278 5338172 6100768 8197907 8388556 10676344 14679973 16395814 16777112 21352688 23068529 29359946 32791628 33554224 42705376 46137058 57385349 58719892 65583256 67108448 90176977 92274116 114770698 117439784 131166512 161479703 180353954 184548232 229541396 234879568 262333024 322959406 360707908 369096464 459082792 469759136 631238839 645918812 721415816 738192928 918165584 991946747 1262477678 1291837624 1442831632 1836331168 1983893494 2524955356 2583675248 2885663264 3967786988 5049910712 5167350496 6943627229 7935573976 10099821424 13887254458 15871147952 20199642848 27774508916 31742295904 55549017832 111098035664 222196071328