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25323214224 = 24371147145777
BaseRepresentation
bin10111100101011000…
…011001010110010000
32102100211002120101010
4113211120121112100
5403330220323344
615344444210520
71554350524620
oct274530312620
972324076333
1025323214224
11a815326720
124aa8839a40
1325074a1739
141323280880
159d32698b9
hex5e5619590

25323214224 has 160 divisors (see below), whose sum is σ = 83296382976. Its totient is φ = 6437468160.

The previous prime is 25323214181. The next prime is 25323214243. The reversal of 25323214224 is 42241232352.

It is a junction number, because it is equal to n+sod(n) for n = 25323214191 and 25323214200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100824 + ... + 246600.

Almost surely, 225323214224 is an apocalyptic number.

25323214224 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 25323214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41648191488).

25323214224 is an abundant number, since it is smaller than the sum of its proper divisors (57973168752).

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

25323214224 is a wasteful number, since it uses less digits than its factorization.

25323214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145853 (or 145847 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

Adding to 25323214224 its reverse (42241232352), we get a palindrome (67564446576).

The spelling of 25323214224 in words is "twenty-five billion, three hundred twenty-three million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 6204 7238 7896 8272 10857 12408 14476 15792 21714 24816 28952 43428 57904 86856 145777 173712 291554 437331 583108 874662 1020439 1166216 1603547 1749324 2040878 2332432 3061317 3207094 3498648 4081756 4810641 6122634 6414188 6851519 6997296 8163512 9621282 11224829 12245268 12828376 13703038 16327024 19242564 20554557 22449658 24490536 25656752 27406076 33674487 38485128 41109114 44899316 47960633 48981072 54812152 67348974 75366709 76970256 82218228 89798632 95921266 109624304 134697948 143881899 150733418 164436456 179597264 191842532 226100127 269395896 287763798 301466836 328872912 383685064 452200254 527566963 538791792 575527596 602933672 767370128 904400508 1055133926 1151055192 1205867344 1582700889 1808801016 2110267852 2302110384 3165401778 3617602032 4220535704 6330803556 8441071408 12661607112 25323214224