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204226704 = 24331123907
BaseRepresentation
bin11000010110001…
…00000010010000
3112020021210101000
430023010002100
5404240223304
632133142000
75026620063
oct1413040220
9466253330
10204226704
11a530a600
125848a900
1333407106
141d1a28da
1512de1939
hexc2c4090

204226704 has 120 divisors (see below), whose sum is σ = 644507360. Its totient is φ = 61871040.

The previous prime is 204226697. The next prime is 204226709. The reversal of 204226704 is 407622402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204226709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50319 + ... + 54225.

Almost surely, 2204226704 is an apocalyptic number.

204226704 is a gapful number since it is divisible by the number (24) 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 204226704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322253680).

204226704 is an abundant number, since it is smaller than the sum of its proper divisors (440280656).

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

204226704 is a wasteful number, since it uses less digits than its factorization.

204226704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204226704 is about 14290.7908808435. The cubic root of 204226704 is about 588.8945152159.

The spelling of 204226704 in words is "two hundred four million, two hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 3907 4356 4752 5808 6534 7814 8712 11721 13068 15628 17424 23442 26136 31256 35163 42977 46884 52272 62512 70326 85954 93768 105489 128931 140652 171908 187536 210978 257862 281304 343816 386793 421956 472747 515724 562608 687632 773586 843912 945494 1031448 1160379 1418241 1547172 1687824 1890988 2062896 2320758 2836482 3094344 3781976 4254723 4641516 5672964 6188688 7563952 8509446 9283032 11345928 12764169 17018892 18566064 22691856 25528338 34037784 51056676 68075568 102113352 204226704