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146212224 = 273675683
BaseRepresentation
bin10001011011100…
…00010110000000
3101012010100110120
420231300112000
5244412242344
622301500240
73423532464
oct1055602600
9335110416
10146212224
1175595454
1240b71680
13243a3b12
14155c04a4
15cc82219
hex8b70580

146212224 has 64 divisors (see below), whose sum is σ = 394242240. Its totient is φ = 48001536.

The previous prime is 146212153. The next prime is 146212237. The reversal of 146212224 is 422212641.

It is a happy number.

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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146212194 and 146212203.

It is a congruent number.

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, 22887 + ... + 28569.

It is an arithmetic number, because the mean of its divisors is an integer number (6160035).

Almost surely, 2146212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121120).

146212224 is an abundant number, since it is smaller than the sum of its proper divisors (248030016).

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

146212224 is an equidigital number, since it uses as much as digits as its factorization.

146212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5755 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 146212224 is about 12091.8246762017. The cubic root of 146212224 is about 526.8187550580.

Adding to 146212224 its reverse (422212641), we get a palindrome (568424865).

The spelling of 146212224 in words is "one hundred forty-six million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 5683 6432 8576 11366 12864 17049 22732 25728 34098 45464 68196 90928 136392 181856 272784 363712 380761 545568 727424 761522 1091136 1142283 1523044 2182272 2284566 3046088 4569132 6092176 9138264 12184352 18276528 24368704 36553056 48737408 73106112 146212224