Search a number
-
+
1410223100 = 22521113175801
BaseRepresentation
bin101010000001110…
…0100101111111100
310122021120202102012
41110003210233330
510342004114400
6351533550352
746642461416
oct12403445774
93567522365
101410223100
11664041540
123343453b8
1319621aa50
14d54139b6
1583c13d35
hex540e4bfc

1410223100 has 144 divisors (see below), whose sum is σ = 3807318816. Its totient is φ = 445440000.

The previous prime is 1410223093. The next prime is 1410223147. The reversal of 1410223100 is 13220141.

It is a super-2 number, since 2×14102231002 = 3977458383547220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240200 + ... + 246000.

It is an arithmetic number, because the mean of its divisors is an integer number (26439714).

Almost surely, 21410223100 is an apocalyptic number.

1410223100 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 1410223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903659408).

1410223100 is an abundant number, since it is smaller than the sum of its proper divisors (2397095716).

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

1410223100 is a wasteful number, since it uses less digits than its factorization.

1410223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1410223100 is about 37552.9373018942. The cubic root of 1410223100 is about 1121.4053097300.

Adding to 1410223100 its reverse (13220141), we get a palindrome (1423443241).

The spelling of 1410223100 in words is "one billion, four hundred ten million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 17 20 22 25 26 34 44 50 52 55 65 68 85 100 110 130 143 170 187 220 221 260 275 286 325 340 374 425 442 550 572 650 715 748 850 884 935 1100 1105 1300 1430 1700 1870 2210 2431 2860 3575 3740 4420 4675 4862 5525 5801 7150 9350 9724 11050 11602 12155 14300 18700 22100 23204 24310 29005 48620 58010 60775 63811 75413 98617 116020 121550 127622 145025 150826 197234 243100 255244 290050 301652 319055 377065 394468 493085 580100 638110 754130 829543 986170 1084787 1276220 1282021 1508260 1595275 1659086 1885325 1972340 2169574 2465425 2564042 3190550 3318172 3770650 4147715 4339148 4930850 5128084 5423935 6381100 6410105 7541300 8295430 9861700 10847870 12820210 14102231 16590860 20738575 21695740 25640420 27119675 28204462 32050525 41477150 54239350 56408924 64101050 70511155 82954300 108478700 128202100 141022310 282044620 352555775 705111550 1410223100