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2141582280 = 233519989681
BaseRepresentation
bin111111110100101…
…1111001111001000
312112020202122121020
41333221133033020
513341221113110
6552301312440
7104033102055
oct17751371710
95466678536
102141582280
119a995a512
124b9265720
132818b9966
141645d202c
15c802cd70
hex7fa5f3c8

2141582280 has 64 divisors (see below), whose sum is σ = 6457104000. Its totient is φ = 568212480.

The previous prime is 2141582263. The next prime is 2141582291. The reversal of 2141582280 is 822851412.

2141582280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 20961 + ... + 68720.

It is an arithmetic number, because the mean of its divisors is an integer number (100892250).

Almost surely, 22141582280 is an apocalyptic number.

2141582280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141582280 is an abundant number, since it is smaller than the sum of its proper divisors (4315521720).

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

2141582280 is a wasteful number, since it uses less digits than its factorization.

2141582280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89894 (or 89890 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2141582280 is about 46277.2328472652. The cubic root of 2141582280 is about 1288.9762684958.

The spelling of 2141582280 in words is "two billion, one hundred forty-one million, five hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 89681 179362 269043 358724 448405 538086 717448 896810 1076172 1345215 1793620 2152344 2690430 3587240 5380860 10761720 17846519 35693038 53539557 71386076 89232595 107079114 142772152 178465190 214158228 267697785 356930380 428316456 535395570 713860760 1070791140 2141582280