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216280368 = 2434433881
BaseRepresentation
bin11001110010000…
…10110100110000
3120001222011220000
430321002310300
5420331432433
633243350000
75234232003
oct1471026460
9501864800
10216280368
111010a2707
1260522300
1335a67665
1420a1d53a
1513ec3113
hexce42d30

216280368 has 100 divisors (see below), whose sum is σ = 640700808. Its totient is φ = 70398720.

The previous prime is 216280357. The next prime is 216280369. The reversal of 216280368 is 863082612.

216280368 is a `hidden beast` number, since 2 + 16 + 280 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216280369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53788 + ... + 57668.

Almost surely, 2216280368 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 216280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320350404).

216280368 is an abundant number, since it is smaller than the sum of its proper divisors (424420440).

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

216280368 is a wasteful number, since it uses less digits than its factorization.

216280368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216280368 is about 14706.4736765820. The cubic root of 216280368 is about 600.2594877607.

The spelling of 216280368 in words is "two hundred sixteen million, two hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 3881 4644 6192 6966 7762 9288 11643 13932 15524 18576 23286 27864 31048 34929 46572 55728 62096 69858 93144 104787 139716 166883 186288 209574 279432 314361 333766 419148 500649 558864 628722 667532 838296 1001298 1257444 1335064 1501947 1676592 2002596 2514888 2670128 3003894 4005192 4505841 5029776 6007788 8010384 9011682 12015576 13517523 18023364 24031152 27035046 36046728 54070092 72093456 108140184 216280368