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216425000 = 235511787
BaseRepresentation
bin11001110011001…
…10001000101000
3120002020112021202
430321212020220
5420401100000
633250423332
75235403451
oct1471461050
9502215252
10216425000
11101191340
1260591b48
1335ab843c
1420a5a128
1514000dd5
hexce66228

216425000 has 96 divisors (see below), whose sum is σ = 554027040. Its totient is φ = 78600000.

The previous prime is 216424997. The next prime is 216425017. The reversal of 216425000 is 524612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274607 + ... + 275393.

It is an arithmetic number, because the mean of its divisors is an integer number (5771115).

Almost surely, 2216425000 is an apocalyptic number.

216425000 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 216425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277013520).

216425000 is an abundant number, since it is smaller than the sum of its proper divisors (337602040).

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

216425000 is an equidigital number, since it uses as much as digits as its factorization.

216425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 216425000 is about 14711.3901450543. The cubic root of 216425000 is about 600.3932607056.

Adding to 216425000 its reverse (524612), we get a palindrome (216949612).

The spelling of 216425000 in words is "two hundred sixteen million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 787 1000 1100 1250 1375 1574 2200 2500 2750 3125 3148 3935 5000 5500 6250 6296 6875 7870 8657 11000 12500 13750 15740 17314 19675 25000 27500 31480 34375 34628 39350 43285 55000 68750 69256 78700 86570 98375 137500 157400 173140 196750 216425 275000 346280 393500 432850 491875 787000 865700 983750 1082125 1731400 1967500 2164250 2459375 3935000 4328500 4918750 5410625 8657000 9837500 10821250 19675000 21642500 27053125 43285000 54106250 108212500 216425000