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32122068 = 22311376577
BaseRepresentation
bin111101010001…
…0010011010100
32020102222012020
41322202103110
531210401233
63104253140
7540014226
oct172422324
966388166
1032122068
111714a870
12a9111b0
136868b54
1443a2416
152c479b3
hex1ea24d4

32122068 has 48 divisors (see below), whose sum is σ = 83987904. Its totient is φ = 9469440.

The previous prime is 32122067. The next prime is 32122091. The reversal of 32122068 is 86022123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32122063) 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, 1596 + ... + 8172.

It is an arithmetic number, because the mean of its divisors is an integer number (1749748).

Almost surely, 232122068 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 32122068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41993952).

32122068 is an abundant number, since it is smaller than the sum of its proper divisors (51865836).

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

32122068 is a wasteful number, since it uses less digits than its factorization.

32122068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 32122068 is about 5667.6333685234. The cubic root of 32122068 is about 317.8833874868.

The spelling of 32122068 in words is "thirty-two million, one hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 6577 13154 19731 26308 39462 72347 78924 144694 217041 243349 289388 434082 486698 730047 868164 973396 1460094 2676839 2920188 5353678 8030517 10707356 16061034 32122068