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2188988640 = 253251520131
BaseRepresentation
bin1000001001111001…
…0101000011100000
312122112222010220100
42002132111003200
513440340114030
61001113342400
7105150045036
oct20236250340
95575863810
102188988640
11a23699623
12511107a00
1328b677667
1416aa12556
15cc294360
hex827950e0

2188988640 has 72 divisors (see below), whose sum is σ = 7469928648. Its totient is φ = 583729920.

The previous prime is 2188988639. The next prime is 2188988699. The reversal of 2188988640 is 468898812.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758626 + ... + 761505.

It is an arithmetic number, because the mean of its divisors is an integer number (103749009).

Almost surely, 22188988640 is an apocalyptic number.

2188988640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2188988640 is an abundant number, since it is smaller than the sum of its proper divisors (5280940008).

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

2188988640 is a wasteful number, since it uses less digits than its factorization.

2188988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520152 (or 1520141 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2188988640 is about 46786.6288591089. The cubic root of 2188988640 is about 1298.4179255261.

The spelling of 2188988640 in words is "two billion, one hundred eighty-eight million, nine hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1520131 3040262 4560393 6080524 7600655 9120786 12161048 13681179 15201310 18241572 22801965 24322096 27362358 30402620 36483144 45603930 48644192 54724716 60805240 68405895 72966288 91207860 109449432 121610480 136811790 145932576 182415720 218898864 243220960 273623580 364831440 437797728 547247160 729662880 1094494320 2188988640