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2532270080 = 2135211293
BaseRepresentation
bin1001011011101111…
…0110000000000000
320112110220122111202
42112323312000000
520141230120310
61055135200332
7116515640414
oct22673660000
96473818452
102532270080
11108a444a9a
125a80760a8
1331481a782
141a0450d44
15ec4a23a5
hex96ef6000

2532270080 has 112 divisors (see below), whose sum is σ = 6126717744. Its totient is φ = 1004666880.

The previous prime is 2532270073. The next prime is 2532270107. The reversal of 2532270080 is 800722352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8642414 + ... + 8642706.

It is an arithmetic number, because the mean of its divisors is an integer number (54702837).

Almost surely, 22532270080 is an apocalyptic number.

2532270080 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 2532270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063358872).

2532270080 is an abundant number, since it is smaller than the sum of its proper divisors (3594447664).

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

2532270080 is an equidigital number, since it uses as much as digits as its factorization.

2532270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2532270080 is about 50321.6661091423. Note that the first 3 decimals coincide. The cubic root of 2532270080 is about 1363.0234924692.

The spelling of 2532270080 in words is "two billion, five hundred thirty-two million, two hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 256 293 320 422 512 586 640 844 1024 1055 1172 1280 1465 1688 2048 2110 2344 2560 2930 3376 4096 4220 4688 5120 5860 6752 8192 8440 9376 10240 11720 13504 16880 18752 20480 23440 27008 33760 37504 40960 46880 54016 61823 67520 75008 93760 108032 123646 135040 150016 187520 216064 247292 270080 300032 309115 375040 432128 494584 540160 600064 618230 750080 864256 989168 1080320 1200128 1236460 1500160 1728512 1978336 2160640 2400256 2472920 3000320 3956672 4321280 4945840 6000640 7913344 8642560 9891680 12001280 15826688 19783360 31653376 39566720 63306752 79133440 126613504 158266880 253227008 316533760 506454016 633067520 1266135040 2532270080