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2132220312 = 2332377111273
BaseRepresentation
bin111111100010111…
…0001100110011000
312111121011000101200
41333011301212120
513331322022222
6551324514200
7103560400515
oct17705614630
95447130350
102132220312
119a4645752
124b60ab960
1327c98c631
1416327630c
15c72cdeac
hex7f171998

2132220312 has 96 divisors (see below), whose sum is σ = 6014904480. Its totient is φ = 681730560.

The previous prime is 2132220253. The next prime is 2132220319. The reversal of 2132220312 is 2130222312.

2132220312 is a `hidden beast` number, since 2 + 132 + 220 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132220319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183508 + ... + 194780.

It is an arithmetic number, because the mean of its divisors is an integer number (62655255).

Almost surely, 22132220312 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 2132220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007452240).

2132220312 is an abundant number, since it is smaller than the sum of its proper divisors (3882684168).

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

2132220312 is a wasteful number, since it uses less digits than its factorization.

2132220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11386 counting only the distinct ones).

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

The square root of 2132220312 is about 46175.9711538371. The cubic root of 2132220312 is about 1287.0952633864.

Adding to 2132220312 its reverse (2130222312), we get a palindrome (4262442624).

The spelling of 2132220312 in words is "two billion, one hundred thirty-two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 11273 15762 21016 22546 23643 31524 33819 45092 47286 63048 67638 90184 94572 101457 135276 189144 202914 270552 405828 417101 800383 811656 834202 1251303 1600766 1668404 2401149 2502606 3201532 3336808 3753909 4802298 5005212 6403064 7203447 7507818 9604596 10010424 14406894 15015636 19209192 28813788 29614171 30031272 57627576 59228342 88842513 118456684 177685026 236913368 266527539 355370052 533055078 710740104 1066110156 2132220312