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216773136 = 24321505369
BaseRepresentation
bin11001110101110…
…11001000010000
3120002220012211200
430322323020100
5420443220021
633302111200
75241353436
oct1472731020
9502805750
10216773136
111013a9958
126071b500
1335baaa38
1420b0ad56
151406e126
hexcebb210

216773136 has 30 divisors (see below), whose sum is σ = 606664110. Its totient is φ = 72257664.

The previous prime is 216773131. The next prime is 216773143. The reversal of 216773136 is 631377612.

It can be written as a sum of positive squares in only one way, i.e., 179024400 + 37748736 = 13380^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216773136.

It is not an unprimeable number, because it can be changed into a prime (216773131) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 752541 + ... + 752828.

It is an arithmetic number, because the mean of its divisors is an integer number (20222137).

Almost surely, 2216773136 is an apocalyptic number.

It is an amenable number.

216773136 is an abundant number, since it is smaller than the sum of its proper divisors (389890974).

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

216773136 is a wasteful number, since it uses less digits than its factorization.

216773136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505383 (or 1505374 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 216773136 is about 14723.2175831236. The cubic root of 216773136 is about 600.7150142526.

The spelling of 216773136 in words is "two hundred sixteen million, seven hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1505369 3010738 4516107 6021476 9032214 12042952 13548321 18064428 24085904 27096642 36128856 54193284 72257712 108386568 216773136