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422269472072 = 237223214272
BaseRepresentation
bin1100010010100010011…
…10001100110101001000
31111100221200111202122202
412021101032030311020
523404301441101242
6521553220135332
742336142201400
oct6112116146510
91440850452582
10422269472072
111530a1121378
1269a09237548
1330a8725ca56
141661ba4b800
15aeb6a05932
hex625138cd48

422269472072 has 108 divisors (see below), whose sum is σ = 963482075955. Its totient is φ = 172982949216.

The previous prime is 422269472017. The next prime is 422269472081. The reversal of 422269472072 is 270274962224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 211134736036 + 211134736036 = 459494^2 + 459494^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459494.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295913423 + ... + 295914849.

Almost surely, 2422269472072 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 422269472072

422269472072 is an abundant number, since it is smaller than the sum of its proper divisors (541212603883).

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

422269472072 is an equidigital number, since it uses as much as digits as its factorization.

422269472072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 422269472072 in words is "four hundred twenty-two billion, two hundred sixty-nine million, four hundred seventy-two thousand, seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 529 644 1058 1127 1288 1427 2116 2254 2854 3703 4232 4508 5708 7406 9016 9989 11416 14812 19978 25921 29624 32821 39956 51842 65642 69923 79912 103684 131284 139846 207368 229747 262568 279692 459494 559384 754883 918988 1509766 1608229 1837976 2036329 3019532 3216458 4072658 5284181 6039064 6432916 8145316 10568362 12865832 14254303 16290632 21136724 28508606 36989267 42273448 46835567 57017212 73978534 93671134 99780121 114034424 147957068 187342268 199560242 295914136 327848969 374684536 399120484 655697938 798240968 1077218041 1311395876 2154436082 2294942783 2622791752 4308872164 4589885566 7540526287 8617744328 9179771132 15081052574 18359542264 30162105148 52783684009 60324210296 105567368018 211134736036 422269472072