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216673416 = 2332191491063
BaseRepresentation
bin11001110101000…
…10110010001000
3120002201011001100
430322202302020
5420432022131
633300021400
75240456631
oct1472426210
9502634040
10216673416
11101340a43
1260691860
1335b7452b
1420ac2888
151404e7e6
hexcea2c88

216673416 has 96 divisors (see below), whose sum is σ = 622440000. Its totient is φ = 67900032.

The previous prime is 216673399. The next prime is 216673421. The reversal of 216673416 is 614376612.

It is a happy number.

It is a super-2 number, since 2×2166734162 = 93894738402218112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203301 + ... + 204363.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2216673416 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 216673416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220000).

216673416 is an abundant number, since it is smaller than the sum of its proper divisors (405766584).

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

216673416 is a wasteful number, since it uses less digits than its factorization.

216673416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 216673416 is about 14719.8307055482. The cubic root of 216673416 is about 600.6228864637.

The spelling of 216673416 in words is "two hundred sixteen million, six hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 228 298 342 447 456 596 684 894 1063 1192 1341 1368 1788 2126 2682 2831 3189 3576 4252 5364 5662 6378 8493 8504 9567 10728 11324 12756 16986 19134 20197 22648 25479 25512 33972 38268 40394 50958 60591 67944 76536 80788 101916 121182 158387 161576 181773 203832 242364 316774 363546 475161 484728 633548 727092 950322 1267096 1425483 1454184 1900644 2850966 3009353 3801288 5701932 6018706 9028059 11403864 12037412 18056118 24074824 27084177 36112236 54168354 72224472 108336708 216673416