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22220009984 = 291511671721
BaseRepresentation
bin10100101100011010…
…100111001000000000
32010100112212110102202
4110230122213020000
5331001310304414
614112511532332
71414426653134
oct245432471000
963315773382
1022220009984
119472686417
12438152a0a8
1321315c4103
14110b0913c4
158a0adb9de
hex52c6a7200

22220009984 has 80 divisors (see below), whose sum is σ = 44984370816. Its totient is φ = 10963968000.

The previous prime is 22220009951. The next prime is 22220010011. The reversal of 22220009984 is 48990002222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12910244 + ... + 12911964.

Almost surely, 222220009984 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 22220009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492185408).

22220009984 is an abundant number, since it is smaller than the sum of its proper divisors (22764360832).

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

22220009984 is a wasteful number, since it uses less digits than its factorization.

22220009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 22220009984 in words is "twenty-two billion, two hundred twenty million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 151 167 256 302 334 512 604 668 1208 1336 1721 2416 2672 3442 4832 5344 6884 9664 10688 13768 19328 21376 25217 27536 38656 42752 50434 55072 77312 85504 100868 110144 201736 220288 259871 287407 403472 440576 519742 574814 806944 881152 1039484 1149628 1613888 2078968 2299256 3227776 4157936 4598512 6455552 8315872 9197024 12911104 16631744 18394048 33263488 36788096 43398457 66526976 73576192 86796914 133053952 147152384 173593828 347187656 694375312 1388750624 2777501248 5555002496 11110004992 22220009984