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2142232000 = 2653331809
BaseRepresentation
bin111111110101111…
…1101110111000000
312112021222122211221
41333223331313000
513341402411000
6552323244424
7104041446226
oct17753756700
95467878757
102142232000
119aa263677
124b9519714
13281a865cc
14164720b16
15c810a61a
hex7fafddc0

2142232000 has 112 divisors (see below), whose sum is σ = 5327843040. Its totient is φ = 853248000.

The previous prime is 2142231997. The next prime is 2142232009. The reversal of 2142232000 is 2322412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142232009) 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, 2647596 + ... + 2648404.

Almost surely, 22142232000 is an apocalyptic number.

2142232000 is a gapful number since it is divisible by the number (20) 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 2142232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663921520).

2142232000 is an abundant number, since it is smaller than the sum of its proper divisors (3185611040).

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

2142232000 is an equidigital number, since it uses as much as digits as its factorization.

2142232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2142232000 is about 46284.2521814926. The cubic root of 2142232000 is about 1289.1066065472.

Adding to 2142232000 its reverse (2322412), we get a palindrome (2144554412).

The spelling of 2142232000 in words is "two billion, one hundred forty-two million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 331 400 500 662 800 809 1000 1324 1600 1618 1655 2000 2648 3236 3310 4000 4045 5296 6472 6620 8000 8090 8275 10592 12944 13240 16180 16550 20225 21184 25888 26480 32360 33100 40450 41375 51776 52960 64720 66200 80900 82750 101125 105920 129440 132400 161800 165500 202250 258880 264800 267779 323600 331000 404500 529600 535558 647200 662000 809000 1071116 1294400 1324000 1338895 1618000 2142232 2648000 2677790 3236000 4284464 5355580 6472000 6694475 8568928 10711160 13388950 17137856 21422320 26777900 33472375 42844640 53555800 66944750 85689280 107111600 133889500 214223200 267779000 428446400 535558000 1071116000 2142232000