Search a number
-
+
2221214000 = 24531958453
BaseRepresentation
bin1000010001100101…
…0000100100110000
312201210121100210012
42010121100210300
514022112322000
61004224154052
7106021002365
oct20431204460
95653540705
102221214000
11a3a8a9a55
1251ba68928
1329524b515
1417100046c
15d000c735
hex84650930

2221214000 has 80 divisors (see below), whose sum is σ = 5653670880. Its totient is φ = 841708800.

The previous prime is 2221213957. The next prime is 2221214003. The reversal of 2221214000 is 4121222.

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

It is not an unprimeable number, because it can be changed into a prime (2221214003) 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, 8774 + ... + 67226.

It is an arithmetic number, because the mean of its divisors is an integer number (70670886).

Almost surely, 22221214000 is an apocalyptic number.

2221214000 is a gapful number since it is divisible by the number (20) 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 2221214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826835440).

2221214000 is an abundant number, since it is smaller than the sum of its proper divisors (3432456880).

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

2221214000 is a wasteful number, since it uses less digits than its factorization.

2221214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58495 (or 58479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2221214000 is about 47129.7570543282. The cubic root of 2221214000 is about 1304.7584977081.

Adding to 2221214000 its reverse (4121222), we get a palindrome (2225335222).

The spelling of 2221214000 in words is "two billion, two hundred twenty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 58453 116906 233812 292265 467624 584530 935248 1110607 1169060 1461325 2221214 2338120 2922650 4442428 4676240 5553035 5845300 7306625 8884856 11106070 11690600 14613250 17769712 22212140 23381200 27765175 29226500 44424280 55530350 58453000 88848560 111060700 116906000 138825875 222121400 277651750 444242800 555303500 1110607000 2221214000