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2143690000 = 24544632
BaseRepresentation
bin111111111000110…
…0001110100010000
312112101201201211221
41333301201310100
513342241040000
6552414414424
7104060031034
oct17761416420
95471651757
102143690000
11a0006a031
124b9b01414
1328217712a
141649c01c4
15c82e761a
hex7fc61d10

2143690000 has 75 divisors (see below), whose sum is σ = 5201321763. Its totient is φ = 855624000.

The previous prime is 2143689997. The next prime is 2143690001. The reversal of 2143690000 is 963412.

The square root of 2143690000 is 46300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 168065296 + 1975624704 = 12964^2 + 44448^2 .

It is a super-2 number, since 2×21436900002 = 9190813632200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2143690001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4629769 + ... + 4630231.

Almost surely, 22143690000 is an apocalyptic number.

2143690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2143690000 is the 46300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143690000

2143690000 is an abundant number, since it is smaller than the sum of its proper divisors (3057631763).

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

2143690000 is an frugal number, since it uses more digits than its factorization.

2143690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 2143690000 is about 1289.3989949213.

Multiplying 2143690000 by its sum of digits (25), we get a square (53592250000 = 2315002).

2143690000 divided by its sum of digits (25) gives a square (85747600 = 92602).

Multiplying 2143690000 by its product of nonzero digits (1296), we get a square (2778222240000 = 16668002).

The spelling of 2143690000 in words is "two billion, one hundred forty-three million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 463 500 625 926 1000 1250 1852 2000 2315 2500 3704 4630 5000 7408 9260 10000 11575 18520 23150 37040 46300 57875 92600 115750 185200 214369 231500 289375 428738 463000 578750 857476 926000 1071845 1157500 1714952 2143690 2315000 3429904 4287380 4630000 5359225 8574760 10718450 17149520 21436900 26796125 42873800 53592250 85747600 107184500 133980625 214369000 267961250 428738000 535922500 1071845000 2143690000