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216569672 = 23114432
BaseRepresentation
bin11001110100010…
…01011101001000
3120002111212201222
430322021131020
5420420212142
633253501212
75236545314
oct1472113510
9502455658
10216569672
11101280000
1260641808
1335b39247
1420a96b44
151402dbd2
hexce89748

216569672 has 60 divisors (see below), whose sum is σ = 457301475. Its totient is φ = 96151440.

The previous prime is 216569653. The next prime is 216569687. The reversal of 216569672 is 276965612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 108284836 + 108284836 = 10406^2 + 10406^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10406.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5036483 + ... + 5036525.

Almost surely, 2216569672 is an apocalyptic number.

216569672 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 216569672

216569672 is an abundant number, since it is smaller than the sum of its proper divisors (240731803).

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

216569672 is an frugal number, since it uses more digits than its factorization.

216569672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 56 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 216569672 is about 14716.3063300544. The cubic root of 216569672 is about 600.5270110375.

The spelling of 216569672 in words is "two hundred sixteen million, five hundred sixty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1331 1849 1892 2662 3698 3784 5203 5324 7396 10406 10648 14641 14792 20339 20812 29282 40678 41624 57233 58564 81356 114466 117128 162712 223729 228932 447458 457864 629563 894916 1259126 1789832 2461019 2518252 4922038 5036504 9844076 19688152 27071209 54142418 108284836 216569672