Search a number
-
+
2231214000 = 24353371869
BaseRepresentation
bin1000010011111101…
…1001111110110000
312202111102102012120
42010333121332300
514032142322000
61005222354240
7106202002041
oct20477317660
95674372176
102231214000
11a4550a114
1252328b980
13297340092
141724848c8
15d0d356a0
hex84fd9fb0

2231214000 has 80 divisors (see below), whose sum is σ = 7193453280. Its totient is φ = 594988800.

The previous prime is 2231213993. The next prime is 2231214001. The reversal of 2231214000 is 4121322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22312140003 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231214001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179935 + ... + 191934.

It is an arithmetic number, because the mean of its divisors is an integer number (89918166).

Almost surely, 22231214000 is an apocalyptic number.

2231214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231214000 is an abundant number, since it is smaller than the sum of its proper divisors (4962239280).

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

2231214000 is a wasteful number, since it uses less digits than its factorization.

2231214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371895 (or 371879 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2231214000 is about 47235.7280032816. The cubic root of 2231214000 is about 1306.7135927661.

Adding to 2231214000 its reverse (4121322), we get a palindrome (2235335322).

The spelling of 2231214000 in words is "two billion, two hundred thirty-one million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 371869 743738 1115607 1487476 1859345 2231214 2974952 3718690 4462428 5578035 5949904 7437380 8924856 9296725 11156070 14874760 17849712 18593450 22312140 27890175 29749520 37186900 44624280 46483625 55780350 74373800 89248560 92967250 111560700 139450875 148747600 185934500 223121400 278901750 371869000 446242800 557803500 743738000 1115607000 2231214000