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4214531000 = 235313730763
BaseRepresentation
bin1111101100110100…
…1010001110111000
3101212201101100122202
43323031022032320
532112404443000
61534112005332
7206303631251
oct37315121670
911781340582
104214531000
111872aa1579
12997530848
135221c5a34
142bda39b28
15199eeedd5
hexfb34a3b8

4214531000 has 64 divisors (see below), whose sum is σ = 9934310880. Its totient is φ = 1673452800.

The previous prime is 4214530997. The next prime is 4214531021. The reversal of 4214531000 is 1354124.

It is a super-2 number, since 2×42145310002 = 35524543099922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 121619 + ... + 152381.

Almost surely, 24214531000 is an apocalyptic number.

4214531000 is a gapful number since it is divisible by the number (40) 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 4214531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967155440).

4214531000 is an abundant number, since it is smaller than the sum of its proper divisors (5719779880).

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

4214531000 is a wasteful number, since it uses less digits than its factorization.

4214531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30921 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4214531000 is about 64919.4192826769. The cubic root of 4214531000 is about 1615.2871972765.

Adding to 4214531000 its reverse (1354124), we get a palindrome (4215885124).

The spelling of 4214531000 in words is "four billion, two hundred fourteen million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 30763 34250 61526 68500 123052 137000 153815 246104 307630 615260 769075 1230520 1538150 3076300 3845375 4214531 6152600 7690750 8429062 15381500 16858124 21072655 30763000 33716248 42145310 84290620 105363275 168581240 210726550 421453100 526816375 842906200 1053632750 2107265500 4214531000