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10222122988 = 2271145772623
BaseRepresentation
bin10011000010100100…
…10011011111101100
3222101101201122120201
421201102103133230
5131413330413423
64410155323244
7511212416560
oct114122233754
928341648521
1010222122988
114376138330
121b93450524
13c6ba1c2ac
146cd8636a0
153ec6372ad
hex2614937ec

10222122988 has 48 divisors (see below), whose sum is σ = 22351924224. Its totient is φ = 3973875840.

The previous prime is 10222122983. The next prime is 10222122991. The reversal of 10222122988 is 88922122201.

10222122988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10222122983) by changing a digit.

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, 104445 + ... + 177067.

It is an arithmetic number, because the mean of its divisors is an integer number (465665088).

Almost surely, 210222122988 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 10222122988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11175962112).

10222122988 is an abundant number, since it is smaller than the sum of its proper divisors (12129801236).

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

10222122988 is a wasteful number, since it uses less digits than its factorization.

10222122988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73102 (or 73100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 10222122988 in words is "ten billion, two hundred twenty-two million, one hundred twenty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 457 914 1828 3199 5027 6398 10054 12796 20108 35189 70378 72623 140756 145246 290492 508361 798853 1016722 1597706 2033444 3195412 5591971 11183942 22367884 33188711 66377422 132754844 232320977 365075821 464641954 730151642 929283908 1460303284 2555530747 5111061494 10222122988