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2030452224 = 2932395531
BaseRepresentation
bin111100100000110…
…0011111000000000
312020111122122211020
41321001203320000
513124243432344
6533251345440
7101213362533
oct17101437000
95214578736
102030452224
11952156899
12487bb2280
1326487a128
14153944a1a
15bd3ca719
hex79063e00

2030452224 has 80 divisors (see below), whose sum is σ = 5432866560. Its totient is φ = 673863680.

The previous prime is 2030452211. The next prime is 2030452253. The reversal of 2030452224 is 4222540302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2030452194 and 2030452203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364339 + ... + 369869.

It is an arithmetic number, because the mean of its divisors is an integer number (67910832).

Almost surely, 22030452224 is an apocalyptic number.

2030452224 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 2030452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716433280).

2030452224 is an abundant number, since it is smaller than the sum of its proper divisors (3402414336).

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

2030452224 is an equidigital number, since it uses as much as digits as its factorization.

2030452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2030452224 is about 45060.5395440401. The cubic root of 2030452224 is about 1266.2834332170.

Adding to 2030452224 its reverse (4222540302), we get a palindrome (6252992526).

The spelling of 2030452224 in words is "two billion, thirty million, four hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1434 1536 1912 2868 3824 5531 5736 7648 11062 11472 15296 16593 22124 22944 30592 33186 44248 45888 61184 66372 88496 91776 122368 132744 176992 183552 265488 353984 367104 530976 707968 1061952 1321909 1415936 2123904 2643818 2831872 3965727 4247808 5287636 7931454 8495616 10575272 15862908 21150544 31725816 42301088 63451632 84602176 126903264 169204352 253806528 338408704 507613056 676817408 1015226112 2030452224