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147140224 = 2771114929
BaseRepresentation
bin10001100010100…
…10111010000000
3101020212111102221
420301102322000
5300131441344
622333420424
73434446150
oct1061227200
9336774387
10147140224
11760696a0
124133a714
132463a32a
1415782760
15cdb7184
hex8c52e80

147140224 has 64 divisors (see below), whose sum is σ = 365486400. Its totient is φ = 57323520.

The previous prime is 147140207. The next prime is 147140239. The reversal of 147140224 is 422041741.

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

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, 2392 + ... + 17320.

It is an arithmetic number, because the mean of its divisors is an integer number (5710725).

Almost surely, 2147140224 is an apocalyptic number.

147140224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182743200).

147140224 is an abundant number, since it is smaller than the sum of its proper divisors (218346176).

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

147140224 is a wasteful number, since it uses less digits than its factorization.

147140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14961 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 147140224 is about 12130.1370148898. The cubic root of 147140224 is about 527.9309674058.

Adding to 147140224 its reverse (422041741), we get a palindrome (569181965).

The spelling of 147140224 in words is "one hundred forty-seven million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 14929 29858 59716 104503 119432 164219 209006 238864 328438 418012 477728 656876 836024 955456 1149533 1313752 1672048 1910912 2299066 2627504 3344096 4598132 5255008 6688192 9196264 10510016 13376384 18392528 21020032 36785056 73570112 147140224