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216898752 = 2637712273
BaseRepresentation
bin11001110110110…
…01110011000000
3120010010121011010
430323121303000
5421011230002
633304520520
75242415610
oct1473316300
9503117133
10216898752
11101485274
1260780140
1335c22c75
1420b40a40
151409646c
hexced9cc0

216898752 has 112 divisors (see below), whose sum is σ = 665390592. Its totient is φ = 61071360.

The previous prime is 216898729. The next prime is 216898753. The reversal of 216898752 is 257898612.

216898752 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (216898753) 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, 94288 + ... + 96560.

Almost surely, 2216898752 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 216898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332695296).

216898752 is an abundant number, since it is smaller than the sum of its proper divisors (448491840).

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

216898752 is a wasteful number, since it uses less digits than its factorization.

216898752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2356 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 216898752 is about 14727.4828806555. The cubic root of 216898752 is about 600.8310262387.

The spelling of 216898752 in words is "two hundred sixteen million, eight hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2273 2982 3408 3976 4544 4546 5964 6816 6819 7952 9092 11928 13632 13638 15904 15911 18184 23856 27276 31808 31822 36368 47712 47733 54552 63644 72736 95424 95466 109104 127288 145472 161383 190932 218208 254576 322766 381864 436416 484149 509152 645532 763728 968298 1018304 1129681 1291064 1527456 1936596 2259362 2582128 3054912 3389043 3873192 4518724 5164256 6778086 7746384 9037448 10328512 13556172 15492768 18074896 27112344 30985536 36149792 54224688 72299584 108449376 216898752