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2146227000 = 233534117449
BaseRepresentation
bin111111111101100…
…1101001100111000
312112120111121221220
41333323031030320
513343413231000
6552545032040
7104120425401
oct17773151470
95476447856
102146227000
11a01542125
124ba925620
13282854b08
141650809a8
15c86491a0
hex7fecd338

2146227000 has 128 divisors (see below), whose sum is σ = 6859944000. Its totient is φ = 558336000.

The previous prime is 2146226993. The next prime is 2146227007. The reversal of 2146227000 is 7226412.

It is an interprime number because it is at equal distance from previous prime (2146226993) and next prime (2146227007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146227007) 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, 114276 + ... + 131724.

Almost surely, 22146227000 is an apocalyptic number.

2146227000 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 2146227000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429972000).

2146227000 is an abundant number, since it is smaller than the sum of its proper divisors (4713717000).

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

2146227000 is a wasteful number, since it uses less digits than its factorization.

2146227000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2146227000 is about 46327.3893069748. The cubic root of 2146227000 is about 1289.9074508449.

The spelling of 2146227000 in words is "two billion, one hundred forty-six million, two hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 17449 20500 24600 30750 34898 41000 52347 61500 69796 87245 104694 123000 139592 174490 209388 261735 348980 418776 436225 523470 697960 715409 872450 1046940 1308675 1430818 1744900 2093880 2146227 2181125 2617350 2861636 3489800 3577045 4292454 4362250 5234700 5723272 6543375 7154090 8584908 8724500 10469400 10731135 13086750 14308180 17169816 17449000 17885225 21462270 26173500 28616360 35770450 42924540 52347000 53655675 71540900 85849080 89426125 107311350 143081800 178852250 214622700 268278375 357704500 429245400 536556750 715409000 1073113500 2146227000