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216261232 = 241110911273
BaseRepresentation
bin11001110001111…
…10001001110000
3120001221012122021
430320332021300
5420330324412
633243121224
75234122135
oct1470761160
9501835567
10216261232
1110108a2a0
1260513214
1335a5ba35
1420a1658c
1513ebc607
hexce3e270

216261232 has 40 divisors (see below), whose sum is σ = 461332080. Its totient is φ = 97390080.

The previous prime is 216261229. The next prime is 216261247. The reversal of 216261232 is 232162612.

216261232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216261197 and 216261206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13548 + ... + 24820.

It is an arithmetic number, because the mean of its divisors is an integer number (11533302).

Almost surely, 2216261232 is an apocalyptic number.

216261232 is a gapful number since it is divisible by the number (22) 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 216261232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230666040).

216261232 is an abundant number, since it is smaller than the sum of its proper divisors (245070848).

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

216261232 is a wasteful number, since it uses less digits than its factorization.

216261232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11395 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 216261232 is about 14705.8230643511. The cubic root of 216261232 is about 600.2417840359.

The spelling of 216261232 in words is "two hundred sixteen million, two hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 11273 19184 22546 45092 90184 124003 180368 248006 496012 992024 1228757 1984048 2457514 4915028 9830056 13516327 19660112 27032654 54065308 108130616 216261232