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2202024431424 = 263197532310937
BaseRepresentation
bin100000000010110010111…
…000100100111101000000
321210111210212110022022010
4200002302320210331000
5242034221223301144
64403332425412520
7315043134560346
oct40026270447500
97714725408263
102202024431424
11779967426304
122b692563a140
1312c85b10305c
1478815789996
153c42e03d5b9
hex200b2e24f40

2202024431424 has 112 divisors (see below), whose sum is σ = 5857399804608. Its totient is φ = 730078261248.

The previous prime is 2202024431407. The next prime is 2202024431461. The reversal of 2202024431424 is 4241344202022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2202024431391 and 2202024431400.

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, 201331684 + ... + 201342620.

Almost surely, 22202024431424 is an apocalyptic number.

2202024431424 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 2202024431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928699902304).

2202024431424 is an abundant number, since it is smaller than the sum of its proper divisors (3655375373184).

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

2202024431424 is a wasteful number, since it uses less digits than its factorization.

2202024431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 16462 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2202024431424 its reverse (4241344202022), we get a palindrome (6443368633446).

The spelling of 2202024431424 in words is "two trillion, two hundred two billion, twenty-four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 5323 6304 9456 10646 10937 12608 15969 18912 21292 21874 31938 32811 37824 42584 43748 63876 65622 85168 87496 127752 131244 170336 174992 255504 262488 340672 349984 511008 524976 699968 1022016 1048631 1049952 2097262 2099904 2154589 3145893 4194524 4309178 6291786 6463767 8389048 8618356 12583572 12927534 16778096 17236712 25167144 25855068 33556192 34473424 50334288 51710136 58217651 67112384 68946848 100668576 103420272 116435302 137893696 174652953 201337152 206840544 232870604 349305906 413681088 465741208 698611812 931482416 1397223624 1862964832 2794447248 3725929664 5588894496 11177788992 11468877247 22937754494 34406631741 45875508988 68813263482 91751017976 137626526964 183502035952 275253053928 367004071904 550506107856 734008143808 1101012215712 2202024431424