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2188231440 = 243511380687
BaseRepresentation
bin1000001001101101…
…1100001100010000
312122111112200012220
42002123130030100
513440141401230
61001045221040
7105140442333
oct20233341420
95574480186
102188231440
11a2322173a
12510a01780
1328b470b05
1416a89661a
15cc194d10
hex826dc310

2188231440 has 80 divisors (see below), whose sum is σ = 6843633408. Its totient is φ = 578357248.

The previous prime is 2188231421. The next prime is 2188231481. The reversal of 2188231440 is 441328812.

It is a tau number, because it is divible by the number of its divisors (80).

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, 13224 + ... + 67463.

Almost surely, 22188231440 is an apocalyptic number.

2188231440 is a gapful number since it is divisible by the number (20) 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 2188231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421816704).

2188231440 is an abundant number, since it is smaller than the sum of its proper divisors (4655401968).

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

2188231440 is a wasteful number, since it uses less digits than its factorization.

2188231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80816 (or 80810 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2188231440 is about 46778.5361036448. The cubic root of 2188231440 is about 1298.2681949732.

The spelling of 2188231440 in words is "two billion, one hundred eighty-eight million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 80687 161374 242061 322748 403435 484122 645496 806870 968244 1210305 1290992 1613740 1936488 2420610 3227480 3872976 4841220 6454960 9117631 9682440 18235262 19364880 27352893 36470524 45588155 54705786 72941048 91176310 109411572 136764465 145882096 182352620 218823144 273528930 364705240 437646288 547057860 729410480 1094115720 2188231440