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2142237000 = 233531514729
BaseRepresentation
bin111111110101111…
…1111000101001000
312112021222220201010
41333223333011020
513341403041000
6552323323520
7104041466631
oct17753770510
95467886633
102142237000
119aa267402
124b95205a0
13281a88977
14164722888
15c810bd50
hex7faff148

2142237000 has 128 divisors (see below), whose sum is σ = 6729465600. Its totient is φ = 567360000.

The previous prime is 2142236981. The next prime is 2142237007. The reversal of 2142237000 is 7322412.

It is not an unprimeable number, because it can be changed into a prime (2142237007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450636 + ... + 455364.

It is an arithmetic number, because the mean of its divisors is an integer number (52573950).

Almost surely, 22142237000 is an apocalyptic number.

2142237000 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 2142237000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364732800).

2142237000 is an abundant number, since it is smaller than the sum of its proper divisors (4587228600).

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

2142237000 is a wasteful number, since it uses less digits than its factorization.

2142237000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2142237000 is about 46284.3061955130. The cubic root of 2142237000 is about 1289.1076094774.

Adding to 2142237000 its reverse (7322412), we get a palindrome (2149559412).

The spelling of 2142237000 in words is "two billion, one hundred forty-two million, two hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1000 1208 1500 1510 1812 2265 3000 3020 3624 3775 4530 4729 6040 7550 9060 9458 11325 14187 15100 18120 18875 18916 22650 23645 28374 30200 37750 37832 45300 47290 56625 56748 70935 75500 90600 94580 113250 113496 118225 141870 151000 189160 226500 236450 283740 354675 453000 472900 567480 591125 709350 714079 945800 1182250 1418700 1428158 1773375 2142237 2364500 2837400 2856316 3546750 3570395 4284474 4729000 5712632 7093500 7140790 8568948 10711185 14187000 14281580 17137896 17851975 21422370 28563160 35703950 42844740 53555925 71407900 85689480 89259875 107111850 142815800 178519750 214223700 267779625 357039500 428447400 535559250 714079000 1071118500 2142237000