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2213223122424 = 2331913267365837
BaseRepresentation
bin100000001101001110011…
…000001100010111111000
321211120201022202202100110
4200031032120030113320
5242230140104404144
64412423552304320
7315620506066266
oct40151630142770
97746638682313
102213223122424
11783693832636
122b8b2bb420a0
13130924246c32
1479198bbb436
153c8872790b9
hex2034e60c5f8

2213223122424 has 64 divisors (see below), whose sum is σ = 5824726300800. Its totient is φ = 698857974144.

The previous prime is 2213223122399. The next prime is 2213223122483. The reversal of 2213223122424 is 4242213223122.

It is a super-3 number, since 3×22132231224243 (a number of 38 digits) contains 333 as substring.

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 = 2213223122391 and 2213223122400.

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, 5866834 + ... + 6232670.

It is an arithmetic number, because the mean of its divisors is an integer number (91011348450).

Almost surely, 22213223122424 is an apocalyptic number.

2213223122424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2213223122424 is an abundant number, since it is smaller than the sum of its proper divisors (3611503178376).

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

2213223122424 is a wasteful number, since it uses less digits than its factorization.

2213223122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379132 (or 379128 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 2213223122424 its reverse (4242213223122), we get a palindrome (6455436345546).

The spelling of 2213223122424 in words is "two trillion, two hundred thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 13267 26534 39801 53068 79602 106136 159204 252073 318408 365837 504146 731674 756219 1008292 1097511 1463348 1512438 2016584 2195022 2926696 3024876 4390044 6049752 6950903 8780088 13901806 20852709 27803612 41705418 55607224 83410836 166821672 4853559479 9707118958 14560678437 19414237916 29121356874 38828475832 58242713748 92217630101 116485427496 184435260202 276652890303 368870520404 553305780606 737741040808 1106611561212 2213223122424