Search a number
-
+
3142412220 = 2235371917411
BaseRepresentation
bin1011101101001101…
…0110011110111100
322010000000002011210
42323103112132330
522413424142340
61235452444420
7140605030443
oct27323263674
98100002153
103142412220
11137289a8a2
12738479710
133b105781c
1421b4b7d5a
15135d25180
hexbb4d67bc

3142412220 has 96 divisors (see below), whose sum is σ = 9085095936. Its totient is φ = 810950400.

The previous prime is 3142412197. The next prime is 3142412233. The reversal of 3142412220 is 222142413.

It is a congruent number.

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, 420315 + ... + 427725.

It is an arithmetic number, because the mean of its divisors is an integer number (94636416).

Almost surely, 23142412220 is an apocalyptic number.

3142412220 is a gapful number since it is divisible by the number (30) 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 3142412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542547968).

3142412220 is an abundant number, since it is smaller than the sum of its proper divisors (5942683716).

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

3142412220 is a wasteful number, since it uses less digits than its factorization.

3142412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3142412220 is about 56057.2227282087. Note that the first 3 decimals coincide. The cubic root of 3142412220 is about 1464.7192354902.

Adding to 3142412220 its reverse (222142413), we get a palindrome (3364554633).

The spelling of 3142412220 in words is "three billion, one hundred forty-two million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 191 222 370 382 444 555 573 740 764 955 1110 1146 1910 2220 2292 2865 3820 5730 7067 7411 11460 14134 14822 21201 22233 28268 29644 35335 37055 42402 44466 70670 74110 84804 88932 106005 111165 141340 148220 212010 222330 274207 424020 444660 548414 822621 1096828 1371035 1415501 1645242 2742070 2831002 3290484 4113105 4246503 5484140 5662004 7077505 8226210 8493006 14155010 16452420 16986012 21232515 28310020 42465030 52373537 84930060 104747074 157120611 209494148 261867685 314241222 523735370 628482444 785603055 1047470740 1571206110 3142412220