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216342552 = 233293137271
BaseRepresentation
bin11001110010100…
…10000000011000
3120002002100012010
430321102000120
5420340430202
633244545520
75234611206
oct1471220030
9502070163
10216342552
111011353a8
12605522a0
1335a89a5a
1420a38076
1513ed676c
hexce52018

216342552 has 128 divisors (see below), whose sum is σ = 595353600. Its totient is φ = 65318400.

The previous prime is 216342547. The next prime is 216342559. The reversal of 216342552 is 255243612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216342559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798177 + ... + 798447.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2216342552 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 216342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297676800).

216342552 is an abundant number, since it is smaller than the sum of its proper divisors (379011048).

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

216342552 is a wasteful number, since it uses less digits than its factorization.

216342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

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

The square root of 216342552 is about 14708.5876956287. The cubic root of 216342552 is about 600.3170102558.

The spelling of 216342552 in words is "two hundred sixteen million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 37 58 62 74 87 93 111 116 124 148 174 186 222 232 248 271 296 348 372 444 542 696 744 813 888 899 1073 1084 1147 1626 1798 2146 2168 2294 2697 3219 3252 3441 3596 4292 4588 5394 6438 6504 6882 7192 7859 8401 8584 9176 10027 10788 12876 13764 15718 16802 20054 21576 23577 25203 25752 27528 30081 31436 33263 33604 40108 47154 50406 60162 62872 66526 67208 80216 94308 99789 100812 120324 133052 188616 199578 201624 240648 243629 266104 290783 310837 399156 487258 581566 621674 730887 798312 872349 932511 974516 1163132 1243348 1461774 1744698 1865022 1949032 2326264 2486696 2923548 3489396 3730044 5847096 6978792 7460088 9014273 18028546 27042819 36057092 54085638 72114184 108171276 216342552