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216156020 = 225173531801
BaseRepresentation
bin11001110001001…
…00011101110100
3120001201212022112
430320210131310
5420313443040
633240550152
75233203323
oct1470443564
9501655275
10216156020
11101018243
1260482358
1335a22b92
14209ca0ba
1513e9b365
hexce24774

216156020 has 48 divisors (see below), whose sum is σ = 482258448. Its totient is φ = 81100800.

The previous prime is 216156011. The next prime is 216156041. The reversal of 216156020 is 20651612.

216156020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6832996 + 209323024 = 2614^2 + 14468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119120 + ... + 120920.

It is an arithmetic number, because the mean of its divisors is an integer number (10047051).

Almost surely, 2216156020 is an apocalyptic number.

216156020 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 216156020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241129224).

216156020 is an abundant number, since it is smaller than the sum of its proper divisors (266102428).

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

216156020 is a wasteful number, since it uses less digits than its factorization.

216156020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 216156020 is about 14702.2454067397. The cubic root of 216156020 is about 600.1444281943.

The spelling of 216156020 in words is "two hundred sixteen million, one hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 353 706 1412 1765 1801 3530 3602 6001 7060 7204 9005 12002 18010 24004 30005 30617 36020 60010 61234 120020 122468 153085 306170 612340 635753 1271506 2543012 3178765 6357530 10807801 12715060 21615602 43231204 54039005 108078010 216156020