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216542620 = 225719127641
BaseRepresentation
bin11001110100000…
…10110110011100
3120002110111122001
430322002312130
5420413330440
633253132044
75236403410
oct1472026634
9502414561
10216542620
11101261748
126062a024
1335b29b38
1420a8ad40
1514025b9a
hexce82d9c

216542620 has 96 divisors (see below), whose sum is σ = 552222720. Its totient is φ = 69672960.

The previous prime is 216542609. The next prime is 216542633. The reversal of 216542620 is 26245612.

216542620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337500 + ... + 338140.

It is an arithmetic number, because the mean of its divisors is an integer number (5752320).

Almost surely, 2216542620 is an apocalyptic number.

216542620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216542620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276111360).

216542620 is an abundant number, since it is smaller than the sum of its proper divisors (335680100).

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

216542620 is a wasteful number, since it uses less digits than its factorization.

216542620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 216542620 is about 14715.3871848484. The cubic root of 216542620 is about 600.5020057924.

The spelling of 216542620 in words is "two hundred sixteen million, five hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 127 133 140 190 254 266 380 508 532 635 641 665 889 1270 1282 1330 1778 2413 2540 2564 2660 3205 3556 4445 4487 4826 6410 8890 8974 9652 12065 12179 12820 16891 17780 17948 22435 24130 24358 33782 44870 48260 48716 60895 67564 81407 84455 85253 89740 121790 162814 168910 170506 243580 325628 337820 341012 407035 426265 569849 814070 852530 1139698 1546733 1628140 1705060 2279396 2849245 3093466 5698490 6186932 7733665 10827131 11396980 15467330 21654262 30934660 43308524 54135655 108271310 216542620