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2213035000 = 23541140237
BaseRepresentation
bin1000001111101000…
…0011101111111000
312201020012211022021
42003322003233320
514013014110000
61003333004224
7105561326041
oct20372035770
95636184267
102213035000
11a36222a50
12519183674
13293646787
1416dcb18c8
15ce44411a
hex83e83bf8

2213035000 has 80 divisors (see below), whose sum is σ = 5656658040. Its totient is φ = 804720000.

The previous prime is 2213034977. The next prime is 2213035003. The reversal of 2213035000 is 5303122.

It is a super-2 number, since 2×22130350002 = 9795047822450000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213035003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34882 + ... + 75118.

Almost surely, 22213035000 is an apocalyptic number.

2213035000 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 2213035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828329020).

2213035000 is an abundant number, since it is smaller than the sum of its proper divisors (3443623040).

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

2213035000 is a wasteful number, since it uses less digits than its factorization.

2213035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40274 (or 40255 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2213035000 is about 47042.9059476559. The cubic root of 2213035000 is about 1303.1550584727.

Adding to 2213035000 its reverse (5303122), we get a palindrome (2218338122).

The spelling of 2213035000 in words is "two billion, two hundred thirteen million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 40237 55000 80474 160948 201185 321896 402370 442607 804740 885214 1005925 1609480 1770428 2011850 2213035 3540856 4023700 4426070 5029625 8047400 8852140 10059250 11065175 17704280 20118500 22130350 25148125 40237000 44260700 50296250 55325875 88521400 100592500 110651750 201185000 221303500 276629375 442607000 553258750 1106517500 2213035000