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2233890000 = 24325424821
BaseRepresentation
bin1000010100100110…
…0111010011010000
312202200110100222200
42011021213103100
514033333440000
61005400003200
7106233515556
oct20511472320
95680410880
102233890000
11a46a77691
12524160500
13297a69104
1417297dbd6
15d11b3500
hex852674d0

2233890000 has 150 divisors (see below), whose sum is σ = 7812550746. Its totient is φ = 595680000.

The previous prime is 2233889993. The next prime is 2233890011. The reversal of 2233890000 is 983322.

It can be written as a sum of positive squares in 5 ways, for example, as 1336048704 + 897841296 = 36552^2 + 29964^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77590 + ... + 102410.

Almost surely, 22233890000 is an apocalyptic number.

2233890000 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 2233890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906275373).

2233890000 is an abundant number, since it is smaller than the sum of its proper divisors (5578660746).

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

2233890000 is a wasteful number, since it uses less digits than its factorization.

2233890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24855 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2233890000 is about 47264.0455314608. The cubic root of 2233890000 is about 1307.2357851032.

The spelling of 2233890000 in words is "two billion, two hundred thirty-three million, eight hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 24821 30000 45000 49642 74463 90000 99284 124105 148926 198568 223389 248210 297852 372315 397136 446778 496420 595704 620525 744630 893556 992840 1116945 1191408 1241050 1489260 1787112 1861575 1985680 2233890 2482100 2978520 3102625 3574224 3723150 4467780 4964200 5584725 5957040 6205250 7446300 8935560 9307875 9928400 11169450 12410500 14892600 15513125 17871120 18615750 22338900 24821000 27923625 29785200 31026250 37231500 44677800 46539375 49642000 55847250 62052500 74463000 89355600 93078750 111694500 124105000 139618125 148926000 186157500 223389000 248210000 279236250 372315000 446778000 558472500 744630000 1116945000 2233890000