Search a number
-
+
229003920 = 24325734357
BaseRepresentation
bin11011010011001…
…01001010010000
3120221220121022200
431221211022100
5432111111140
634420203200
75450333625
oct1551451220
9527817280
10229003920
111082a3042
1264839500
13385a0aa2
14225b234c
1515188030
hexda65290

229003920 has 120 divisors (see below), whose sum is σ = 779785656. Its totient is φ = 60217344.

The previous prime is 229003891. The next prime is 229004003. The reversal of 229003920 is 29300922.

It can be written as a sum of positive squares in 4 ways, for example, as 102576384 + 126427536 = 10128^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50382 + ... + 54738.

Almost surely, 2229003920 is an apocalyptic number.

229003920 is a gapful number since it is divisible by the number (20) 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 229003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389892828).

229003920 is an abundant number, since it is smaller than the sum of its proper divisors (550781736).

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

229003920 is a wasteful number, since it uses less digits than its factorization.

229003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 229003920 is about 15132.8754703130. The cubic root of 229003920 is about 611.8068081739.

The spelling of 229003920 in words is "two hundred twenty-nine million, three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 584 657 720 730 876 1095 1168 1314 1460 1752 2190 2628 2920 3285 3504 4357 4380 5256 5840 6570 8714 8760 10512 13071 13140 17428 17520 21785 26142 26280 34856 39213 43570 52284 52560 65355 69712 78426 87140 104568 130710 156852 174280 196065 209136 261420 313704 318061 348560 392130 522840 627408 636122 784260 954183 1045680 1272244 1568520 1590305 1908366 2544488 2862549 3137040 3180610 3816732 4770915 5088976 5725098 6361220 7633464 9541830 11450196 12722440 14312745 15266928 19083660 22900392 25444880 28625490 38167320 45800784 57250980 76334640 114501960 229003920