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322412422428 = 223261146818043
BaseRepresentation
bin1001011000100010100…
…01110010010100011100
31010211012110212001102200
410230101101302110130
520240300040004203
6404040401051500
732202452241645
oct4542121622434
91124173761380
10322412422428
11114809452a68
125259b326b90
1324532251525
141186799c6cc
1585c01069a3
hex4b1147251c

322412422428 has 36 divisors (see below), whose sum is σ = 828347404248. Its totient is φ = 105708990240.

The previous prime is 322412422427. The next prime is 322412422463. The reversal of 322412422428 is 824224214223.

322412422428 is a `hidden beast` number, since 3 + 224 + 1 + 2 + 4 + 2 + 2 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3224124224282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 322412422392 and 322412422401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322412422427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73406826 + ... + 73411217.

It is an arithmetic number, because the mean of its divisors is an integer number (23009650118).

Almost surely, 2322412422428 is an apocalyptic number.

It is an amenable number.

322412422428 is an abundant number, since it is smaller than the sum of its proper divisors (505934981820).

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

322412422428 is a wasteful number, since it uses less digits than its factorization.

322412422428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146818114 (or 146818109 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 322412422428 in words is "three hundred twenty-two billion, four hundred twelve million, four hundred twenty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 146818043 293636086 440454129 587272172 880908258 1321362387 1761816516 2642724774 5285449548 8955900623 17911801246 26867701869 35823602492 53735403738 80603105607 107470807476 161206211214 322412422428