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216140736 = 2637732203
BaseRepresentation
bin11001110001000…
…00101111000000
3120001201002100110
430320200233000
5420313000421
633240351320
75233110630
oct1470405700
9501632313
10216140736
11101007809
1260475540
1335a18c36
14209c46c0
1513e96a76
hexce20bc0

216140736 has 112 divisors (see below), whose sum is σ = 662822144. Its totient is φ = 60880896.

The previous prime is 216140719. The next prime is 216140759. The reversal of 216140736 is 637041612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97011 + ... + 99213.

Almost surely, 2216140736 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 216140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331411072).

216140736 is an abundant number, since it is smaller than the sum of its proper divisors (446681408).

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

216140736 is a wasteful number, since it uses less digits than its factorization.

216140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 216140736 is about 14701.7256130020. The cubic root of 216140736 is about 600.1302828197.

The spelling of 216140736 in words is "two hundred sixteen million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2203 2336 3066 3504 4088 4406 4672 6132 6609 7008 8176 8812 12264 13218 14016 15421 16352 17624 24528 26436 30842 32704 35248 46263 49056 52872 61684 70496 92526 98112 105744 123368 140992 160819 185052 211488 246736 321638 370104 422976 482457 493472 643276 740208 964914 986944 1125733 1286552 1480416 1929828 2251466 2573104 2960832 3377199 3859656 4502932 5146208 6754398 7719312 9005864 10292416 13508796 15438624 18011728 27017592 30877248 36023456 54035184 72046912 108070368 216140736