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1000222019984 = 2411411011113709
BaseRepresentation
bin11101000111000011110…
…00001101000110010000
310112121202012012012122102
432203201320031012100
5112341423314114414
62043255021055532
7132156301614425
oct16434170150620
93477665165572
101000222019984
11356212288890
12141a243b75a8
1373422292805
14365a7b1bd4c
151b040ebeede
hexe8e1e0d190

1000222019984 has 80 divisors (see below), whose sum is σ = 2166041364480. Its totient is φ = 443481216000.

The previous prime is 1000222019969. The next prime is 1000222020001. The reversal of 1000222019984 is 4899102220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72954122 + ... + 72967830.

It is an arithmetic number, because the mean of its divisors is an integer number (27075517056).

Almost surely, 21000222019984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000222019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083020682240).

1000222019984 is an abundant number, since it is smaller than the sum of its proper divisors (1165819344496).

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

1000222019984 is a wasteful number, since it uses less digits than its factorization.

1000222019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23880 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

Adding to 1000222019984 its reverse (4899102220001), we get a palindrome (5899324239985).

The spelling of 1000222019984 in words is "one trillion, two hundred twenty-two million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 10111 13709 20222 27418 40444 54836 80888 109672 111221 150799 161776 219344 222442 301598 414551 444884 562069 603196 829102 889768 1124138 1206392 1658204 1779536 2248276 2412784 3316408 4496552 4560061 6182759 6632816 8993104 9120122 12365518 18240244 24731036 36480488 49462072 72960976 98924144 138611699 277223398 554446796 1108893592 1524728689 2217787184 3049457378 5683079659 6098914756 11366159318 12197829512 22732318636 24395659024 45464637272 62513876249 90929274544 125027752498 250055504996 500111009992 1000222019984