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4220230200 = 2335213751341
BaseRepresentation
bin1111101110001011…
…1001101000111000
3101220010002220111020
43323202321220320
532120334331300
61534434102440
7206403236064
oct37342715070
911803086436
104220230200
11187623445a
1299941aa20
1352343cb44
142c06c0aa4
1519a7788a0
hexfb8b9a38

4220230200 has 96 divisors (see below), whose sum is σ = 13178464560. Its totient is φ = 1117158400.

The previous prime is 4220230181. The next prime is 4220230207. The reversal of 4220230200 is 20320224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4220230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220230207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56530 + ... + 107870.

Almost surely, 24220230200 is an apocalyptic number.

4220230200 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 4220230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589232280).

4220230200 is an abundant number, since it is smaller than the sum of its proper divisors (8958234360).

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

4220230200 is a wasteful number, since it uses less digits than its factorization.

4220230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51497 (or 51488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4220230200 is about 64963.2988694386. The cubic root of 4220230200 is about 1616.0149728623.

Adding to 4220230200 its reverse (20320224), we get a palindrome (4240550424).

The spelling of 4220230200 in words is "four billion, two hundred twenty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 5480 6850 8220 10275 13700 16440 20550 27400 41100 51341 82200 102682 154023 205364 256705 308046 410728 513410 616092 770115 1026820 1232184 1283525 1540230 2053640 2567050 3080460 3850575 5134100 6160920 7033717 7701150 10268200 14067434 15402300 21101151 28134868 30804600 35168585 42202302 56269736 70337170 84404604 105505755 140674340 168809208 175842925 211011510 281348680 351685850 422023020 527528775 703371700 844046040 1055057550 1406743400 2110115100 4220230200