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216250000 = 2457173
BaseRepresentation
bin11001110001110…
…11011010010000
3120001220122020021
430320323122100
5420330000000
633242553224
75234044321
oct1470733220
9501818207
10216250000
1110108190a
1260508814
1335a568a5
1420a12448
1513eb911a
hexce3b690

216250000 has 80 divisors (see below), whose sum is σ = 526756464. Its totient is φ = 86000000.

The previous prime is 216249997. The next prime is 216250003. The reversal of 216250000 is 52612.

It is a happy number.

216250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216249997) and next prime (216250003).

It can be written as a sum of positive squares in 8 ways, for example, as 202322176 + 13927824 = 14224^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (216250003) 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, 1249914 + ... + 1250086.

Almost surely, 2216250000 is an apocalyptic number.

216250000 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 216250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263378232).

216250000 is an abundant number, since it is smaller than the sum of its proper divisors (310506464).

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

216250000 is an frugal number, since it uses more digits than its factorization.

216250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 216250000 is about 14705.4411698527. The cubic root of 216250000 is about 600.2313922327.

The spelling of 216250000 in words is "two hundred sixteen million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3125 3460 4325 5000 6250 6920 8650 10000 12500 13840 15625 17300 21625 25000 31250 34600 43250 50000 62500 69200 78125 86500 108125 125000 156250 173000 216250 250000 312500 346000 432500 540625 625000 865000 1081250 1250000 1730000 2162500 2703125 4325000 5406250 8650000 10812500 13515625 21625000 27031250 43250000 54062500 108125000 216250000