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229620608 = 277298837
BaseRepresentation
bin11011010111110…
…11101110000000
3121000001221020222
431223323232000
5432240324413
634441322212
75455512560
oct1553735600
9530057228
10229620608
111086843a8
1264a96368
13387586a9
14226d2da0
151525ab08
hexdafbb80

229620608 has 64 divisors (see below), whose sum is σ = 540885600. Its totient is φ = 95004672.

The previous prime is 229620607. The next prime is 229620613. The reversal of 229620608 is 806026922.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229620607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21566 + ... + 30402.

Almost surely, 2229620608 is an apocalyptic number.

229620608 is a gapful number since it is divisible by the number (28) 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 229620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270442800).

229620608 is an abundant number, since it is smaller than the sum of its proper divisors (311264992).

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

229620608 is an equidigital number, since it uses as much as digits as its factorization.

229620608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 229620608 is about 15153.2375418588. The cubic root of 229620608 is about 612.3554971064.

The spelling of 229620608 in words is "two hundred twenty-nine million, six hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 8837 12992 17674 25984 35348 61859 70696 123718 141392 247436 256273 282784 494872 512546 565568 989744 1025092 1131136 1793911 1979488 2050184 3587822 3958976 4100368 7175644 7917952 8200736 14351288 16401472 28702576 32802944 57405152 114810304 229620608