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141232224 = 2537732879
BaseRepresentation
bin10000110101100…
…00100001100000
3100211202100012010
420122300201200
5242123412344
622003032520
73333311520
oct1032604140
9324670163
10141232224
11727a3951
123b36b740
132334c183
1414a85680
15c5eb8b9
hex86b0860

141232224 has 96 divisors (see below), whose sum is σ = 429649920. Its totient is φ = 39785472.

The previous prime is 141232211. The next prime is 141232237. The reversal of 141232224 is 422232141.

It is an interprime number because it is at equal distance from previous prime (141232211) and next prime (141232237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 141232224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47617 + ... + 50495.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2141232224 is an apocalyptic number.

141232224 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 141232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

141232224 is an abundant number, since it is smaller than the sum of its proper divisors (288417696).

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

141232224 is a wasteful number, since it uses less digits than its factorization.

141232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2964 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 141232224 is about 11884.1164585341. The cubic root of 141232224 is about 520.7683709712.

Adding to 141232224 its reverse (422232141), we get a palindrome (563464365).

The spelling of 141232224 in words is "one hundred forty-one million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 2879 3066 3504 4088 5758 6132 7008 8176 8637 11516 12264 16352 17274 20153 23032 24528 34548 40306 46064 49056 60459 69096 80612 92128 120918 138192 161224 210167 241836 276384 322448 420334 483672 630501 644896 840668 967344 1261002 1471169 1681336 1934688 2522004 2942338 3362672 4413507 5044008 5884676 6725344 8827014 10088016 11769352 17654028 20176032 23538704 35308056 47077408 70616112 141232224