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10022220992 = 26723396013
BaseRepresentation
bin10010101010101111…
…01111010011000000
3221212110120120121002
421111113233103000
5131011142032432
64334254551132
7503234321120
oct112527572300
927773516532
1010022220992
114283311a73
121b385084a8
13c3949a7a4
146b10a8c80
153d9cebe62
hex2555ef4c0

10022220992 has 56 divisors (see below), whose sum is σ = 22826752416. Its totient is φ = 4276758528.

The previous prime is 10022220979. The next prime is 10022221007. The reversal of 10022220992 is 29902222001.

10022220992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×100222209922 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 56378 + ... + 152390.

Almost surely, 210022220992 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 10022220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413376208).

10022220992 is an abundant number, since it is smaller than the sum of its proper divisors (12804531424).

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

10022220992 is an equidigital number, since it uses as much as digits as its factorization.

10022220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96265 (or 96255 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 10022220992 its reverse (29902222001), we get a palindrome (39924442993).

The spelling of 10022220992 in words is "ten billion, twenty-two million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 233 448 466 932 1631 1864 3262 3728 6524 7456 13048 14912 26096 52192 96013 104384 192026 384052 672091 768104 1344182 1536208 2688364 3072416 5376728 6144832 10753456 21506912 22371029 43013824 44742058 89484116 156597203 178968232 313194406 357936464 626388812 715872928 1252777624 1431745856 2505555248 5011110496 10022220992