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2112551440 = 245173152641
BaseRepresentation
bin111110111101010…
…1111101000010000
312110020010201202221
41331322233220100
513311303121230
6545343150424
7103231251046
oct17572575020
95406121687
102112551440
1199453118a
124ab5a5414
13278893b4c
141607d6396
15c56e627a
hex7deafa10

2112551440 has 40 divisors (see below), whose sum is σ = 4940105688. Its totient is φ = 840130560.

The previous prime is 2112551431. The next prime is 2112551443. The reversal of 2112551440 is 441552112.

It can be written as a sum of positive squares in 4 ways, for example, as 122677776 + 1989873664 = 11076^2 + 44608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2112551443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62481 + ... + 90160.

Almost surely, 22112551440 is an apocalyptic number.

2112551440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112551440 is an abundant number, since it is smaller than the sum of its proper divisors (2827554248).

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

2112551440 is a wasteful number, since it uses less digits than its factorization.

2112551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152827 (or 152821 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2112551440 is about 45962.5003671471. The cubic root of 2112551440 is about 1283.1253865951.

The spelling of 2112551440 in words is "two billion, one hundred twelve million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 152641 305282 610564 763205 1221128 1526410 2442256 3052820 6105640 12211280 26406893 52813786 105627572 132034465 211255144 264068930 422510288 528137860 1056275720 2112551440