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216133740 = 223251963197
BaseRepresentation
bin11001110000111…
…11000001101100
3120001200201202100
430320133001230
5420312234430
633240255100
75233051344
oct1470370154
9501621670
10216133740
11101002529
1260471490
1335a159b4
14209c1d24
1513e94960
hexce1f06c

216133740 has 72 divisors (see below), whose sum is σ = 690122160. Its totient is φ = 54601344.

The previous prime is 216133739. The next prime is 216133747. The reversal of 216133740 is 47331612.

216133740 is a `hidden beast` number, since 2 + 1 + 613 + 3 + 7 + 40 = 666.

216133740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216133747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28179 + ... + 35018.

It is an arithmetic number, because the mean of its divisors is an integer number (9585030).

Almost surely, 2216133740 is an apocalyptic number.

216133740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216133740 is an abundant number, since it is smaller than the sum of its proper divisors (473988420).

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

216133740 is a wasteful number, since it uses less digits than its factorization.

216133740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63231 (or 63226 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216133740 is about 14701.4876798234. The cubic root of 216133740 is about 600.1238077843.

It can be divided in two parts, 216 and 133740, that added together give a square (133956 = 3662).

The spelling of 216133740 in words is "two hundred sixteen million, one hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 63197 126394 189591 252788 315985 379182 568773 631970 758364 947955 1137546 1200743 1263940 1895910 2275092 2401486 2843865 3602229 3791820 4802972 5687730 6003715 7204458 10806687 11375460 12007430 14408916 18011145 21613374 24014860 36022290 43226748 54033435 72044580 108066870 216133740