Search a number
-
+
1442114220 = 2235374315107
BaseRepresentation
bin101010111110100…
…1110101010101100
310201111120222210210
41111331032222230
510423140123340
6355033302420
750510524431
oct12575165254
93644528723
101442114220
11680043838
12342b64a10
1319ca05731
14d9755b88
1586913180
hex55f4eaac

1442114220 has 96 divisors (see below), whose sum is σ = 4243776768. Its totient is φ = 365444352.

The previous prime is 1442114189. The next prime is 1442114251. The reversal of 1442114220 is 224112441.

It is an interprime number because it is at equal distance from previous prime (1442114189) and next prime (1442114251).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87907 + ... + 103013.

It is an arithmetic number, because the mean of its divisors is an integer number (44206008).

Almost surely, 21442114220 is an apocalyptic number.

1442114220 is a gapful number since it is divisible by the number (10) 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 1442114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121888384).

1442114220 is an abundant number, since it is smaller than the sum of its proper divisors (2801662548).

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

1442114220 is a wasteful number, since it uses less digits than its factorization.

1442114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15199 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1442114220 is about 37975.1789989198. The cubic root of 1442114220 is about 1129.7956191827.

Adding to 1442114220 its reverse (224112441), we get a palindrome (1666226661).

The spelling of 1442114220 in words is "one billion, four hundred forty-two million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 6364 7955 9546 15107 15910 19092 23865 30214 31820 45321 47730 60428 75535 90642 95460 151070 181284 226605 302140 453210 558959 649601 906420 1117918 1299202 1676877 1948803 2235836 2598404 2794795 3248005 3353754 3897606 5589590 6496010 6707508 7795212 8384385 9744015 11179180 12992020 16768770 19488030 24035237 33537540 38976060 48070474 72105711 96140948 120176185 144211422 240352370 288422844 360528555 480704740 721057110 1442114220