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2158662000 = 243531132707
BaseRepresentation
bin1000000010101010…
…1001000101110000
312120102220101120110
42000222221011300
513410104141000
6554111341320
7104331216135
oct20052510560
95512811513
102158662000
11a08565790
12502b21840
132852b9ac1
1416699a58c
15c97a3850
hex80aa9170

2158662000 has 160 divisors (see below), whose sum is σ = 7592442624. Its totient is φ = 523296000.

The previous prime is 2158661927. The next prime is 2158662001. The reversal of 2158662000 is 2668512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158662001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49647 + ... + 82353.

Almost surely, 22158662000 is an apocalyptic number.

2158662000 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 2158662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796221312).

2158662000 is an abundant number, since it is smaller than the sum of its proper divisors (5433780624).

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

2158662000 is a wasteful number, since it uses less digits than its factorization.

2158662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32744 (or 32728 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2158662000 is about 46461.4033365330. The cubic root of 2158662000 is about 1292.3938483681.

The spelling of 2158662000 in words is "two billion, one hundred fifty-eight million, six hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 32707 33000 65414 66000 98121 130828 163535 196242 261656 327070 359777 392484 490605 523312 654140 719554 784968 817675 981210 1079331 1308280 1439108 1569936 1635350 1798885 1962420 2158662 2453025 2616560 2878216 3270700 3597770 3924840 4088375 4317324 4906050 5396655 5756432 6541400 7195540 7849680 8176750 8634648 8994425 9812100 10793310 12265125 13082800 14391080 16353500 17269296 17988850 19624200 21586620 24530250 26983275 28782160 32707000 35977700 39248400 43173240 44972125 49060500 53966550 65414000 71955400 86346480 89944250 98121000 107933100 134916375 143910800 179888500 196242000 215866200 269832750 359777000 431732400 539665500 719554000 1079331000 2158662000