Search a number
-
+
146500224 = 2731329347
BaseRepresentation
bin10001011101101…
…10101010000000
3101012122222112020
420232312222000
5300001001344
622312001440
73426142233
oct1056665200
9335588466
10146500224
1175771872
1241090280
1324474c30
141565741a
15ccdc719
hex8bb6a80

146500224 has 64 divisors (see below), whose sum is σ = 419089440. Its totient is φ = 45075456.

The previous prime is 146500213. The next prime is 146500243. The reversal of 146500224 is 422005641.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 146500194 and 146500203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9682 + ... + 19665.

Almost surely, 2146500224 is an apocalyptic number.

It is an amenable number.

146500224 is an abundant number, since it is smaller than the sum of its proper divisors (272589216).

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

146500224 is a wasteful number, since it uses less digits than its factorization.

146500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29377 (or 29365 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 146500224 is about 12103.7276902614. The cubic root of 146500224 is about 527.1644267750.

Adding to 146500224 its reverse (422005641), we get a palindrome (568505865).

The spelling of 146500224 in words is "one hundred forty-six million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 29347 58694 88041 117388 176082 234776 352164 381511 469552 704328 763022 939104 1144533 1408656 1526044 1878208 2289066 2817312 3052088 3756416 4578132 5634624 6104176 9156264 11269248 12208352 18312528 24416704 36625056 48833408 73250112 146500224