Search a number
-
+
229997520 = 24325319441
BaseRepresentation
bin11011011010101…
…11101111010000
3121000210002021200
431231113233100
5432334410040
634453351200
75461642464
oct1555275720
9530702250
10229997520
111089115a5
1265038500
133885b10c
14227904a4
15152d2630
hexdb57bd0

229997520 has 60 divisors (see below), whose sum is σ = 772410756. Its totient is φ = 61332480.

The previous prime is 229997507. The next prime is 229997531. The reversal of 229997520 is 25799922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 167650704 = 7896^2 + 12948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159001 + ... + 160440.

Almost surely, 2229997520 is an apocalyptic number.

229997520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229997520 is an abundant number, since it is smaller than the sum of its proper divisors (542413236).

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

229997520 is a wasteful number, since it uses less digits than its factorization.

229997520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319460 (or 319451 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 229997520 is about 15165.6691247040. The cubic root of 229997520 is about 612.6903653735.

The spelling of 229997520 in words is "two hundred twenty-nine million, nine hundred ninety-seven thousand, five 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 80 90 120 144 180 240 360 720 319441 638882 958323 1277764 1597205 1916646 2555528 2874969 3194410 3833292 4791615 5111056 5749938 6388820 7666584 9583230 11499876 12777640 14374845 15333168 19166460 22999752 25555280 28749690 38332920 45999504 57499380 76665840 114998760 229997520