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216243552 = 2537833877
BaseRepresentation
bin11001110001110…
…01110101100000
3120001220022101110
430320321311200
5420324243202
633242503320
75234016450
oct1470716540
9501808343
10216243552
11101077a88
1260504b40
1335a53985
1420a0dd60
1513eb726c
hexce39d60

216243552 has 96 divisors (see below), whose sum is σ = 656716032. Its totient is φ = 61023744.

The previous prime is 216243529. The next prime is 216243557. The reversal of 216243552 is 255342612.

216243552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2162435522 = 93522547563153408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216243557) 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, 53838 + ... + 57714.

It is an arithmetic number, because the mean of its divisors is an integer number (6840792).

Almost surely, 2216243552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328358016).

216243552 is an abundant number, since it is smaller than the sum of its proper divisors (440472480).

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

216243552 is a wasteful number, since it uses less digits than its factorization.

216243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3972 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 216243552 is about 14705.2219296412. The cubic root of 216243552 is about 600.2254264054.

The spelling of 216243552 in words is "two hundred sixteen million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3877 3984 4648 6972 7754 7968 9296 11631 13944 15508 18592 23262 27139 27888 31016 46524 54278 55776 62032 81417 93048 108556 124064 162834 186096 217112 321791 325668 372192 434224 643582 651336 868448 965373 1287164 1302672 1930746 2252537 2574328 2605344 3861492 4505074 5148656 6757611 7722984 9010148 10297312 13515222 15445968 18020296 27030444 30891936 36040592 54060888 72081184 108121776 216243552