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216322040 = 235112571913
BaseRepresentation
bin11001110010011…
…00111111111000
3120002001022001102
430321030333320
5420334301130
633244310532
75234464334
oct1471147770
9502038042
10216322040
11101120a50
1260542448
1335a8060c
1420a307c4
1513ed0645
hexce4cff8

216322040 has 64 divisors (see below), whose sum is σ = 533316960. Its totient is φ = 78315520.

The previous prime is 216322033. The next prime is 216322069. The reversal of 216322040 is 40223612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112124 + ... + 114036.

Almost surely, 2216322040 is an apocalyptic number.

216322040 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 216322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266658480).

216322040 is an abundant number, since it is smaller than the sum of its proper divisors (316994920).

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

216322040 is a wasteful number, since it uses less digits than its factorization.

216322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 216322040 is about 14707.8903993741. The cubic root of 216322040 is about 600.2980371171.

Adding to 216322040 its reverse (40223612), we get a palindrome (256545652).

The spelling of 216322040 in words is "two hundred sixteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 1028 1285 1913 2056 2570 2827 3826 5140 5654 7652 9565 10280 11308 14135 15304 19130 21043 22616 28270 38260 42086 56540 76520 84172 105215 113080 168344 210430 420860 491641 841720 983282 1966564 2458205 3933128 4916410 5408051 9832820 10816102 19665640 21632204 27040255 43264408 54080510 108161020 216322040