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2268512037 = 3211291495303
BaseRepresentation
bin1000011100110110…
…1011111100100101
312212002121100111100
42013031223330211
514121214341122
61013034030313
7110134014501
oct20715537445
95762540440
102268512037
11a64574740
12533878399
132a1c9bb1c
141773d3301
15d4251aac
hex8736bf25

2268512037 has 48 divisors (see below), whose sum is σ = 3723408000. Its totient is φ = 1318289280.

The previous prime is 2268512009. The next prime is 2268512053. The reversal of 2268512037 is 7302158622.

It is not a de Polignac number, because 2268512037 - 210 = 2268511013 is a prime.

It is a super-2 number, since 2×22685120372 = 10292293724027778738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2268511992 and 2268512010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268512437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425128 + ... + 430430.

It is an arithmetic number, because the mean of its divisors is an integer number (77571000).

Almost surely, 22268512037 is an apocalyptic number.

2268512037 is the 38889-th pentagonal number.

It is an amenable number.

2268512037 is a deficient number, since it is larger than the sum of its proper divisors (1454895963).

2268512037 is a wasteful number, since it uses less digits than its factorization.

2268512037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2268512037 is about 47628.8991789649. The cubic root of 2268512037 is about 1313.9546091227.

The spelling of 2268512037 in words is "two billion, two hundred sixty-eight million, five hundred twelve thousand, thirty-seven".

Divisors: 1 3 9 11 29 33 87 99 149 261 319 447 957 1341 1639 2871 4321 4917 5303 12963 14751 15909 38889 47531 47727 58333 142593 153787 174999 427779 461361 524997 790147 1384083 1691657 2370441 5074971 7111323 8691617 15224913 22914263 26074851 68742789 78224553 206228367 252056893 756170679 2268512037