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2530220352 = 2631139901
BaseRepresentation
bin1001011011010000…
…0001100101000000
320112100001111210220
42112310001211000
520140214022402
61055023223040
7116462342502
oct22664014500
96470044726
102530220352
111089275000
125a7447a80
1331428080a
141a0079d72
15ec1e9dbc
hex96d01940

2530220352 has 112 divisors (see below), whose sum is σ = 7364236224. Its totient is φ = 766656000.

The previous prime is 2530220351. The next prime is 2530220377.

2530220352 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530220351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250602 + ... + 260502.

Almost surely, 22530220352 is an apocalyptic number.

2530220352 is a gapful number since it is divisible by the number (22) 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 2530220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682118112).

2530220352 is an abundant number, since it is smaller than the sum of its proper divisors (4834015872).

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

2530220352 is an equidigital number, since it uses as much as digits as its factorization.

2530220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2530220352 is about 50301.2957288378. The cubic root of 2530220352 is about 1362.6556299740.

It can be divided in two parts, 25302 and 20352, that added together give a palindrome (45654).

The spelling of 2530220352 in words is "two billion, five hundred thirty million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 9901 10648 11616 15972 19802 21296 23232 29703 31944 39604 42592 59406 63888 79208 85184 108911 118812 127776 158416 217822 237624 255552 316832 326733 435644 475248 633664 653466 871288 950496 1198021 1306932 1742576 1900992 2396042 2613864 3485152 3594063 4792084 5227728 6970304 7188126 9584168 10455456 13178231 14376252 19168336 20910912 26356462 28752504 38336672 39534693 52712924 57505008 76673344 79069386 105425848 115010016 158138772 210851696 230020032 316277544 421703392 632555088 843406784 1265110176 2530220352