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213202223232 = 2733183921347
BaseRepresentation
bin1100011010001111010…
…1111100000010000000
3202101022102121010002020
43012203311330002000
511443114232120412
6241535503321440
721255230665515
oct3064365740200
9671272533066
10213202223232
1182467107999
12353a0bb0280
131714957609b
14a46764b30c
15582c51e18c
hex31a3d7c080

213202223232 has 128 divisors (see below), whose sum is σ = 585310924800. Its totient is φ = 68689720320.

The previous prime is 213202223231. The next prime is 213202223237. The reversal of 213202223232 is 232322202312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213202223231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9976783 + ... + 9998129.

It is an arithmetic number, because the mean of its divisors is an integer number (4572741600).

Almost surely, 2213202223232 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 213202223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292655462400).

213202223232 is an abundant number, since it is smaller than the sum of its proper divisors (372108701568).

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

213202223232 is a wasteful number, since it uses less digits than its factorization.

213202223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22234 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213202223232 its reverse (232322202312), we get a palindrome (445524425544).

The spelling of 213202223232 in words is "two hundred thirteen billion, two hundred two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 839 992 1488 1678 1984 2517 2976 3356 3968 5034 5952 6712 10068 11904 13424 20136 21347 26009 26848 40272 42694 52018 53696 64041 78027 80544 85388 104036 107392 128082 156054 161088 170776 208072 256164 312108 322176 341552 416144 512328 624216 661757 683104 832288 1024656 1248432 1323514 1366208 1664576 1985271 2049312 2496864 2647028 2732416 3329152 3970542 4098624 4993728 5294056 7941084 8197248 9987456 10588112 15882168 17910133 21176224 31764336 35820266 42352448 53730399 63528672 71640532 84704896 107460798 127057344 143281064 214921596 254114688 286562128 429843192 555214123 573124256 859686384 1110428246 1146248512 1665642369 1719372768 2220856492 2292497024 3331284738 3438745536 4441712984 6662569476 6877491072 8883425968 13325138952 17766851936 26650277904 35533703872 53300555808 71067407744 106601111616 213202223232