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147012224 = 2741109257
BaseRepresentation
bin10001100001100…
…11101010000000
3101020121222212012
420300303222000
5300113342344
622330552052
73433404032
oct1060635200
9336558765
10147012224
1175a91507
1241298628
13245c3ca8
141574bc52
15cd8e29e
hex8c33a80

147012224 has 64 divisors (see below), whose sum is σ = 303949800. Its totient is φ = 70778880.

The previous prime is 147012221. The next prime is 147012233. The reversal of 147012224 is 422210741.

It can be written as a sum of positive squares in 4 ways, for example, as 138485824 + 8526400 = 11768^2 + 2920^2 .

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

It is a super-2 number, since 2×1470122242 = 43225188010852352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147012224.

It is not an unprimeable number, because it can be changed into a prime (147012221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571904 + ... + 572160.

Almost surely, 2147012224 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 147012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151974900).

147012224 is an abundant number, since it is smaller than the sum of its proper divisors (156937576).

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

147012224 is a wasteful number, since it uses less digits than its factorization.

147012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 147012224 is about 12124.8597517662. The cubic root of 147012224 is about 527.7778373588. Note that the first 3 decimals are identical.

Adding to 147012224 its reverse (422210741), we get a palindrome (569222965).

The spelling of 147012224 in words is "one hundred forty-seven million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 109 128 164 218 257 328 436 514 656 872 1028 1312 1744 2056 2624 3488 4112 4469 5248 6976 8224 8938 10537 13952 16448 17876 21074 28013 32896 35752 42148 56026 71504 84296 112052 143008 168592 224104 286016 337184 448208 572032 674368 896416 1148533 1348736 1792832 2297066 3585664 4594132 9188264 18376528 36753056 73506112 147012224