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2522254240 = 255113146229
BaseRepresentation
bin1001011001010110…
…1000101110100000
320111210001210100201
42112111220232200
520131144113430
61054140354544
7116334543622
oct22625505640
96453053321
102522254240
111084823a40
125a4845a54
1331272193c
1419cda4c12
15eb6748ca
hex96568ba0

2522254240 has 96 divisors (see below), whose sum is σ = 6710376960. Its totient is φ = 887577600.

The previous prime is 2522254193. The next prime is 2522254261. The reversal of 2522254240 is 424522252.

It is a junction number, because it is equal to n+sod(n) for n = 2522254199 and 2522254208.

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, 31446 + ... + 77674.

It is an arithmetic number, because the mean of its divisors is an integer number (69899760).

Almost surely, 22522254240 is an apocalyptic number.

2522254240 is a gapful number since it is divisible by the number (20) 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 2522254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355188480).

2522254240 is an abundant number, since it is smaller than the sum of its proper divisors (4188122720).

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

2522254240 is a wasteful number, since it uses less digits than its factorization.

2522254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46286 (or 46278 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2522254240 is about 50222.0493409020. The cubic root of 2522254240 is about 1361.2240709521.

Adding to 2522254240 its reverse (424522252), we get a palindrome (2946776492).

The spelling of 2522254240 in words is "two billion, five hundred twenty-two million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 46229 54560 92458 184916 231145 369832 462290 508519 739664 924580 1017038 1433099 1479328 1849160 2034076 2542595 2866198 3698320 4068152 5085190 5732396 7165495 7396640 8136304 10170380 11464792 14330990 15764089 16272608 20340760 22929584 28661980 31528178 40681520 45859168 57323960 63056356 78820445 81363040 114647920 126112712 157640890 229295840 252225424 315281780 504450848 630563560 1261127120 2522254240