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2203212132 = 22321131717551
BaseRepresentation
bin1000001101010010…
…0101100101100100
312200112201202212100
42003110211211210
514003010242012
61002342252100
7105411664662
oct20324454544
95615652770
102203212132
11a30723980
12515a27030
132915b7724
1416c875c32
15cd6538dc
hex83525964

2203212132 has 72 divisors (see below), whose sum is σ = 6095037312. Its totient is φ = 665496000.

The previous prime is 2203212131. The next prime is 2203212149. The reversal of 2203212132 is 2312123022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2203212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116757 + ... + 134307.

It is an arithmetic number, because the mean of its divisors is an integer number (84653296).

Almost surely, 22203212132 is an apocalyptic number.

2203212132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047518656).

2203212132 is an abundant number, since it is smaller than the sum of its proper divisors (3891825180).

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

2203212132 is a wasteful number, since it uses less digits than its factorization.

2203212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17889 (or 17884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2203212132 is about 46938.3865508818. The cubic root of 2203212132 is about 1301.2241195538.

Adding to 2203212132 its reverse (2312123022), we get a palindrome (4515335154).

The spelling of 2203212132 in words is "two billion, two hundred three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 317 396 634 951 1268 1902 2853 3487 3804 5706 6974 10461 11412 13948 17551 20922 31383 35102 41844 52653 62766 70204 105306 125532 157959 193061 210612 315918 386122 579183 631836 772244 1158366 1737549 2316732 3475098 5563667 6950196 11127334 16691001 22254668 33382002 50073003 61200337 66764004 100146006 122400674 183601011 200292012 244801348 367202022 550803033 734404044 1101606066 2203212132