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2252510424 = 233325740577
BaseRepresentation
bin1000011001000010…
…1001010011011000
312210222111101102000
42012100221103120
514103120313144
61011303041000
7106551010533
oct20620512330
95728441360
102252510424
11a5653546a
1252a440160
1329b888608
14175229a1a
15d2b40769
hex864294d8

2252510424 has 64 divisors (see below), whose sum is σ = 6281474400. Its totient is φ = 747896832.

The previous prime is 2252510419. The next prime is 2252510431. The reversal of 2252510424 is 4240152522.

2252510424 is a `hidden beast` number, since 225 + 2 + 5 + 10 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35224 + ... + 75800.

Almost surely, 22252510424 is an apocalyptic number.

2252510424 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 2252510424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140737200).

2252510424 is an abundant number, since it is smaller than the sum of its proper divisors (4028963976).

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

2252510424 is a wasteful number, since it uses less digits than its factorization.

2252510424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40849 (or 40839 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2252510424 is about 47460.6197178250. The cubic root of 2252510424 is about 1310.8578620466.

Adding to 2252510424 its reverse (4240152522), we get a palindrome (6492662946).

The spelling of 2252510424 in words is "two billion, two hundred fifty-two million, five hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 3084 4626 6168 6939 9252 13878 18504 27756 40577 55512 81154 121731 162308 243462 324616 365193 486924 730386 973848 1095579 1460772 2191158 2921544 4382316 8764632 10428289 20856578 31284867 41713156 62569734 83426312 93854601 125139468 187709202 250278936 281563803 375418404 563127606 750836808 1126255212 2252510424