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216342528 = 21338803
BaseRepresentation
bin11001110010100…
…10000000000000
3120002002100011020
430321102000000
5420340430103
633244545440
75234611143
oct1471220000
9502070136
10216342528
11101135386
1260552280
1335a89a3c
1420a3805a
1513ed6753
hexce52000

216342528 has 56 divisors (see below), whose sum is σ = 576943728. Its totient is φ = 72105984.

The previous prime is 216342509. The next prime is 216342541. The reversal of 216342528 is 825243612.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20175 + ... + 28977.

Almost surely, 2216342528 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 216342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288471864).

216342528 is an abundant number, since it is smaller than the sum of its proper divisors (360601200).

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

216342528 is an frugal number, since it uses more digits than its factorization.

216342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8808 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 216342528 is about 14708.5868797788. The cubic root of 216342528 is about 600.3169880570.

The spelling of 216342528 in words is "two hundred sixteen million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 8803 12288 17606 24576 26409 35212 52818 70424 105636 140848 211272 281696 422544 563392 845088 1126784 1690176 2253568 3380352 4507136 6760704 9014272 13521408 18028544 27042816 36057088 54085632 72114176 108171264 216342528