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23422120420 = 2251927145691
BaseRepresentation
bin10101110100000100…
…010011000111100100
32020110022211222221111
4111310010103013210
5340432030323140
614432053154404
71456264511236
oct256404230744
966408758844
1023422120420
119a2a1a3816
12465802ba04
13229367706a
1411c29b0256
159213e27ea
hex5741131e4

23422120420 has 72 divisors (see below), whose sum is σ = 52643763648. Its totient is φ = 8750548800.

The previous prime is 23422120409. The next prime is 23422120433. The reversal of 23422120420 is 2402122432.

It is a junction number, because it is equal to n+sod(n) for n = 23422120391 and 23422120400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489775 + ... + 535465.

It is an arithmetic number, because the mean of its divisors is an integer number (731163384).

Almost surely, 223422120420 is an apocalyptic number.

23422120420 is a gapful number since it is divisible by the number (20) 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 23422120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321881824).

23422120420 is an abundant number, since it is smaller than the sum of its proper divisors (29221643228).

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

23422120420 is a wasteful number, since it uses less digits than its factorization.

23422120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45809 (or 45788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23422120420 its reverse (2402122432), we get a palindrome (25824242852).

The spelling of 23422120420 in words is "twenty-three billion, four hundred twenty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 361 380 710 722 1349 1420 1444 1805 2698 3610 5396 6745 7220 13490 25631 26980 45691 51262 91382 102524 128155 182764 228455 256310 456910 512620 868129 913820 1736258 3244061 3472516 4340645 6488122 8681290 12976244 16220305 16494451 17362580 32440610 32988902 61637159 64881220 65977804 82472255 123274318 164944510 246548636 308185795 329889020 616371590 1171106021 1232743180 2342212042 4684424084 5855530105 11711060210 23422120420