Search a number
-
+
147152232 = 23327327997
BaseRepresentation
bin10001100010101…
…01110101101000
3101020220002220200
420301111311220
5300132332412
622333552200
73434526153
oct1061256550
9336802820
10147152232
1176077717
1241345660
1324642936
1415786c9a
15cdba9dc
hex8c55d68

147152232 has 48 divisors (see below), whose sum is σ = 404011140. Its totient is φ = 48377088.

The previous prime is 147152231. The next prime is 147152263. The reversal of 147152232 is 232251741.

It can be written as a sum of positive squares in 2 ways, for example, as 134235396 + 12916836 = 11586^2 + 3594^2 .

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 147152196 and 147152205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147152231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8743 + ... + 19254.

Almost surely, 2147152232 is an apocalyptic number.

147152232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147152232 is an abundant number, since it is smaller than the sum of its proper divisors (256858908).

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

147152232 is a wasteful number, since it uses less digits than its factorization.

147152232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28082 (or 28075 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 147152232 is about 12130.6319703468. The cubic root of 147152232 is about 527.9453283613.

The spelling of 147152232 in words is "one hundred forty-seven million, one hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 27997 55994 83991 111988 167982 223976 251973 335964 503946 671928 1007892 2015784 2043781 4087562 6131343 8175124 12262686 16350248 18394029 24525372 36788058 49050744 73576116 147152232