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216229480 = 23537193757
BaseRepresentation
bin11001110001101…
…10011001101000
3120001212121002021
430320312121220
5420323320410
633242314224
75233630435
oct1470663150
9501777067
10216229480
11101068455
12604b8974
1335a4a44c
1420a08b8c
1513eb2eda
hexce36668

216229480 has 64 divisors (see below), whose sum is σ = 502917840. Its totient is φ = 83607552.

The previous prime is 216229451. The next prime is 216229483. The reversal of 216229480 is 84922612.

216229480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 125484804 + 90744676 = 11202^2 + 9526^2 .

It is not an unprimeable number, because it can be changed into a prime (216229483) 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, 285262 + ... + 286018.

Almost surely, 2216229480 is an apocalyptic number.

216229480 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 216229480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251458920).

216229480 is an abundant number, since it is smaller than the sum of its proper divisors (286688360).

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

216229480 is a wasteful number, since it uses less digits than its factorization.

216229480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 216229480 is about 14704.7434523694. The cubic root of 216229480 is about 600.2124062786.

The spelling of 216229480 in words is "two hundred sixteen million, two hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 193 296 370 386 740 757 772 965 1480 1514 1544 1930 3028 3785 3860 6056 7141 7570 7720 14282 15140 28009 28564 30280 35705 56018 57128 71410 112036 140045 142820 146101 224072 280090 285640 292202 560180 584404 730505 1120360 1168808 1461010 2922020 5405737 5844040 10811474 21622948 27028685 43245896 54057370 108114740 216229480