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2512002152 = 231171402049
BaseRepresentation
bin1001010110111010…
…0001110001101000
320111001202221010202
42111232201301220
520121033032102
61053132531332
7116151444302
oct22556416150
96431687122
102512002152
111079a61440
125a1320b48
1331057240a
1419b896972
15ea7ebe02
hex95ba1c68

2512002152 has 32 divisors (see below), whose sum is σ = 5210568000. Its totient is φ = 1125734400.

The previous prime is 2512002133. The next prime is 2512002167.

It is a happy number.

2512002152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25120021522 = 12620309623305262208, which contains 22 as substring.

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, 194777 + ... + 207272.

It is an arithmetic number, because the mean of its divisors is an integer number (162830250).

Almost surely, 22512002152 is an apocalyptic number.

2512002152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2512002152 is an abundant number, since it is smaller than the sum of its proper divisors (2698565848).

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

2512002152 is a wasteful number, since it uses less digits than its factorization.

2512002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402137 (or 402133 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2512002152 is about 50119.8778130993. The cubic root of 2512002152 is about 1359.3772653590.

It can be divided in two parts, 251200 and 2152, that added together give a palindrome (253352).

The spelling of 2512002152 in words is "two billion, five hundred twelve million, two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 402049 804098 1608196 3216392 4422539 8845078 17690156 28545479 35380312 57090958 114181916 228363832 314000269 628000538 1256001076 2512002152