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232164208 = 24233147433
BaseRepresentation
bin11011101011010…
…00101101110000
3121011212011102101
431311220231300
5433413223313
635012030144
75516235403
oct1565505560
9534764371
10232164208
1110a061451
1265902354
1339139393
1422b95d3a
15155ae5dd
hexdd68b70

232164208 has 80 divisors (see below), whose sum is σ = 495968256. Its totient is φ = 104924160.

The previous prime is 232164203. The next prime is 232164209. The reversal of 232164208 is 802461232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232164203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535960 + ... + 536392.

Almost surely, 2232164208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232164208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984128).

232164208 is an abundant number, since it is smaller than the sum of its proper divisors (263804048).

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

232164208 is a wasteful number, since it uses less digits than its factorization.

232164208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 232164208 is about 15236.9356499265. The cubic root of 232164208 is about 614.6083019248.

It can be divided in two parts, 2 and 32164208, that added together give a triangular number (32164210 = T8020).

The spelling of 232164208 in words is "two hundred thirty-two million, one hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 31 46 47 62 92 94 124 184 188 248 368 376 433 496 713 752 866 1081 1426 1457 1732 2162 2852 2914 3464 4324 5704 5828 6928 8648 9959 11408 11656 13423 17296 19918 20351 23312 26846 33511 39836 40702 53692 67022 79672 81404 107384 134044 159344 162808 214768 268088 308729 325616 468073 536176 617458 630881 936146 1234916 1261762 1872292 2469832 2523524 3744584 4939664 5047048 7489168 10094096 14510263 29020526 58041052 116082104 232164208