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20223001344 = 283713232547
BaseRepresentation
bin10010110101011000…
…101000001100000000
31221012101010220120210
4102311120220030000
5312404042020334
613142413034120
71314100450410
oct226530501400
957171126523
1020223001344
1186383a2257
123b04785940
131ba39564b0
14d9bb74640
157d561a5e9
hex4b5628300

20223001344 has 432 divisors, whose sum is σ = 69375256832. Its totient is φ = 5092319232.

The previous prime is 20223001343. The next prime is 20223001363. The reversal of 20223001344 is 44310032202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20223001344.

It is not an unprimeable number, because it can be changed into a prime (20223001343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36970479 + ... + 36971025.

Almost surely, 220223001344 is an apocalyptic number.

20223001344 is a gapful number since it is divisible by the number (24) 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 20223001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34687628416).

20223001344 is an abundant number, since it is smaller than the sum of its proper divisors (49152255488).

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

20223001344 is a wasteful number, since it uses less digits than its factorization.

20223001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20223001344 its reverse (44310032202), we get a palindrome (64533033546).

The spelling of 20223001344 in words is "twenty billion, two hundred twenty-three million, one thousand, three hundred forty-four".