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1022233421352 = 2331113414323929
BaseRepresentation
bin11101110000000011101…
…11000010011000101000
310121201120012112020212010
432320001313002120220
5113222013223440402
62101335121515520
7133565616500313
oct16700167023050
93551505466763
101022233421352
11364588131490
12146147aa2ba0
137551c5a7170
14376951c997a
151b8cd601a6c
hexee01dc2628

1022233421352 has 384 divisors, whose sum is σ = 3149582486400. Its totient is φ = 272408371200.

The previous prime is 1022233421351. The next prime is 1022233421381. The reversal of 1022233421352 is 2531243322201.

It is a super-2 number, since 2×10222334213522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022233421351) 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 95 ways as a sum of consecutive naturals, for example, 260174524 + ... + 260178452.

It is an arithmetic number, because the mean of its divisors is an integer number (8202037725).

Almost surely, 21022233421352 is an apocalyptic number.

1022233421352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022233421352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574791243200).

1022233421352 is an abundant number, since it is smaller than the sum of its proper divisors (2127349065048).

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

1022233421352 is a wasteful number, since it uses less digits than its factorization.

1022233421352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1022233421352 its reverse (2531243322201), we get a palindrome (3553476743553).

The spelling of 1022233421352 in words is "one trillion, twenty-two billion, two hundred thirty-three million, four hundred twenty-one thousand, three hundred fifty-two".