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221422215023040 = 2635818992816251
BaseRepresentation
bin110010010110000111100000…
…011110001100100111000000
31002000222202102212120110100010
4302112013200132030213000
5213010240144021214130
62102531543351224520
764432140621512463
oct6226074036144700
91060882385513303
10221422215023040
11646086a7a08249
1220a01137978140
139672043715a15
143c96c6ca012da
151a8ea774d90b0
hexc961e078c9c0

221422215023040 has 112 divisors (see below), whose sum is σ = 703024366262400. Its totient is φ = 59045182080000.

The previous prime is 221422215023021. The next prime is 221422215023063. The reversal of 221422215023040 is 40320512224122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221422215022989 and 221422215023007.

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, 77214915 + ... + 80031165.

It is an arithmetic number, because the mean of its divisors is an integer number (6277003270200).

Almost surely, 2221422215023040 is an apocalyptic number.

221422215023040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221422215023040 is an abundant number, since it is smaller than the sum of its proper divisors (481602151239360).

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

221422215023040 is a wasteful number, since it uses less digits than its factorization.

221422215023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898170 (or 2898160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 221422215023040 its reverse (40320512224122), we get a palindrome (261742727247162).

The spelling of 221422215023040 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, two hundred fifteen million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 81899 163798 245697 327596 409495 491394 655192 818990 982788 1228485 1310384 1637980 1965576 2456970 2620768 2816251 3275960 3931152 4913940 5241536 5632502 6551920 7862304 8448753 9827880 11265004 13103840 14081255 15724608 16897506 19655760 22530008 26207680 28162510 33795012 39311520 42243765 45060016 56325020 67590024 78623040 84487530 90120032 112650040 135180048 168975060 180240064 225300080 270360096 337950120 450600160 540720192 675900240 901200320 1351800480 2703600960 230648140649 461296281298 691944421947 922592562596 1153240703245 1383888843894 1845185125192 2306481406490 2767777687788 3459722109735 3690370250384 4612962812980 5535555375576 6919444219470 7380740500768 9225925625960 11071110751152 13838888438940 14761481001536 18451851251920 22142221502304 27677776877880 36903702503840 44284443004608 55355553755760 73807405007680 110711107511520 221422215023040