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2141522064 = 24361116691
BaseRepresentation
bin111111110100101…
…0000100010010000
312112020122121000000
41333221100202100
513341212201224
6552300130000
7104032431363
oct17751204220
95466577000
102141522064
119a9919250
124b9236900
13281898426
141645b80da
15c801a0c9
hex7fa50890

2141522064 has 140 divisors (see below), whose sum is σ = 6786900432. Its totient is φ = 648907200.

The previous prime is 2141522063. The next prime is 2141522069. The reversal of 2141522064 is 4602251412.

2141522064 is a `hidden beast` number, since 21 + 415 + 220 + 6 + 4 = 666.

It is a super-2 number, since 2×21415220642 = 9172233501197640192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2141522063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119959 + ... + 136649.

Almost surely, 22141522064 is an apocalyptic number.

2141522064 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 2141522064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393450216).

2141522064 is an abundant number, since it is smaller than the sum of its proper divisors (4645378368).

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

2141522064 is a wasteful number, since it uses less digits than its factorization.

2141522064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2141522064 is about 46276.5822419936. The cubic root of 2141522064 is about 1288.9641874404.

Adding to 2141522064 its reverse (4602251412), we get a palindrome (6743773476).

The spelling of 2141522064 in words is "two billion, one hundred forty-one million, five hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4752 5346 5832 7128 8019 10692 11664 14256 16038 16691 21384 32076 33382 42768 50073 64152 66764 100146 128304 133528 150219 183601 200292 267056 300438 367202 400584 450657 550803 600876 734404 801168 901314 1101606 1201752 1351971 1468808 1652409 1802628 2203212 2403504 2703942 2937616 3304818 3605256 4055913 4406424 4957227 5407884 6609636 7210512 8111826 8812848 9914454 10815768 12167739 13219272 14871681 16223652 19828908 21631536 24335478 26438544 29743362 32447304 39657816 44615043 48670956 59486724 64894608 79315632 89230086 97341912 118973448 133845129 178460172 194683824 237946896 267690258 356920344 535380516 713840688 1070761032 2141522064