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424024202224 = 24783109141809
BaseRepresentation
bin1100010101110011100…
…11111101101111110000
31111112110222100021220101
412022321303331233300
523421400143432344
6522443302122144
742430500151630
oct6127163755760
91445428307811
10424024202224
11153911676087
126a218a20354
1330ca695c70c
1416746adc6c0
15b06aaba9d4
hex62b9cfdbf0

424024202224 has 80 divisors (see below), whose sum is σ = 951116624640. Its totient is φ = 179366353920.

The previous prime is 424024202213. The next prime is 424024202243. The reversal of 424024202224 is 422202420424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 424024202192 and 424024202201.

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, 10121032 + ... + 10162840.

It is an arithmetic number, because the mean of its divisors is an integer number (11888957808).

Almost surely, 2424024202224 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 424024202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475558312320).

424024202224 is an abundant number, since it is smaller than the sum of its proper divisors (527092422416).

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

424024202224 is a wasteful number, since it uses less digits than its factorization.

424024202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42998 (or 42992 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 424024202224 its reverse (422202420424), we get a palindrome (846226622648).

The spelling of 424024202224 in words is "four hundred twenty-four billion, twenty-four million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1091 1162 1328 2182 2324 4364 4648 7637 8728 9296 15274 17456 30548 41809 61096 83618 90553 122192 167236 181106 292663 334472 362212 585326 633871 668944 724424 1170652 1267742 1448848 2341304 2535484 3470147 4682608 5070968 6940294 10141936 13880588 24291029 27761176 45613619 48582058 55522352 91227238 97164116 182454476 194328232 319295333 364908952 388656464 638590666 729817904 1277181332 2554362664 3785930377 5108725328 7571860754 15143721508 26501512639 30287443016 53003025278 60574886032 106006050556 212012101112 424024202224