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32220084 = 22313712909
BaseRepresentation
bin111101011101…
…0001110110100
32020121221122110
41322322032310
531222020314
63110331020
7540603051
oct172721664
966557573
1032220084
1117207476
12a959a70
1368a1650
1443ca028
152c66a59
hex1eba3b4

32220084 has 48 divisors (see below), whose sum is σ = 82131840. Its totient is φ = 9770880.

The previous prime is 32220059. The next prime is 32220109. The reversal of 32220084 is 48002223.

It is an interprime number because it is at equal distance from previous prime (32220059) and next prime (32220109).

It is a self number, because there is not a number n which added to its sum of digits gives 32220084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 232220084 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 32220084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065920).

32220084 is an abundant number, since it is smaller than the sum of its proper divisors (49911756).

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

32220084 is a wasteful number, since it uses less digits than its factorization.

32220084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 32220084 is about 5676.2737777524. The cubic root of 32220084 is about 318.2063847550.

It can be divided in two parts, 32 and 220084, that added together give a triangular number (220116 = T663).

The spelling of 32220084 in words is "thirty-two million, two hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 2909 3692 5538 5818 8727 11076 11636 17454 34908 37817 75634 113451 151268 206539 226902 413078 453804 619617 826156 1239234 2478468 2685007 5370014 8055021 10740028 16110042 32220084