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10221043223440 = 245722787800977
BaseRepresentation
bin1001010010111100010110…
…1001101000101110010000
31100012010022002001110002201
42110233011221220232100
52314430144031122230
633423252112252544
72103305656631050
oct224570551505620
940163262043081
1010221043223440
1132907a148a475
121190aa6841154
13591ac00142aa
142749b5c95560
1512ad15a015ca
hex94bc5a68b90

10221043223440 has 80 divisors (see below), whose sum is σ = 27159997756032. Its totient is φ = 3504199514112.

The previous prime is 10221043223429. The next prime is 10221043223459. The reversal of 10221043223440 is 4432234012201.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10221043223399 and 10221043223408.

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, 12360232 + ... + 13161208.

Almost surely, 210221043223440 is an apocalyptic number.

10221043223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221043223440 is an abundant number, since it is smaller than the sum of its proper divisors (16938954532592).

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

10221043223440 is a wasteful number, since it uses less digits than its factorization.

10221043223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823784 (or 823778 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10221043223440 its reverse (4432234012201), we get a palindrome (14653277235641).

The spelling of 10221043223440 in words is "ten trillion, two hundred twenty-one billion, forty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22787 45574 91148 113935 159509 182296 227870 319018 364592 455740 638036 797545 800977 911480 1276072 1595090 1601954 1822960 2552144 3190180 3203908 4004885 5606839 6380360 6407816 8009770 11213678 12760720 12815632 16019540 22427356 28034195 32039080 44854712 56068390 64078160 89709424 112136780 224273560 448547120 18251862899 36503725798 73007451596 91259314495 127763040293 146014903192 182518628990 255526080586 292029806384 365037257980 511052161172 638815201465 730074515960 1022104322344 1277630402930 1460149031920 2044208644688 2555260805860 5110521611720 10221043223440