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23141014224 = 2436717341593
BaseRepresentation
bin10101100011010011…
…111101101011010000
32012201201220022201220
4111203103331223100
5334343044423344
614344132125040
71446312242526
oct254323755320
965651808656
1023141014224
1198a5554549
124599a66780
13224a363033
141197518316
159068b6c19
hex5634fdad0

23141014224 has 80 divisors (see below), whose sum is σ = 61025385792. Its totient is φ = 7554438144.

The previous prime is 23141014133. The next prime is 23141014241. The reversal of 23141014224 is 42241014132.

It is a super-3 number, since 3×231410142243 (a number of 32 digits) contains 333 as substring.

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 = 23141014194 and 23141014203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535572 + ... + 577164.

Almost surely, 223141014224 is an apocalyptic number.

23141014224 is a gapful number since it is divisible by the number (24) 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 23141014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30512692896).

23141014224 is an abundant number, since it is smaller than the sum of its proper divisors (37884371568).

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

23141014224 is a wasteful number, since it uses less digits than its factorization.

23141014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41844 (or 41838 counting only the distinct ones).

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

Adding to 23141014224 its reverse (42241014132), we get a palindrome (65382028356).

The spelling of 23141014224 in words is "twenty-three billion, one hundred forty-one million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 173 201 268 346 402 519 536 692 804 1038 1072 1384 1608 2076 2768 3216 4152 8304 11591 23182 34773 41593 46364 69546 83186 92728 124779 139092 166372 185456 249558 278184 332744 499116 556368 665488 998232 1996464 2786731 5573462 7195589 8360193 11146924 14391178 16720386 21586767 22293848 28782356 33440772 43173534 44587696 57564712 66881544 86347068 115129424 133763088 172694136 345388272 482104463 964208926 1446313389 1928417852 2892626778 3856835704 5785253556 7713671408 11570507112 23141014224