Search a number
-
+
22014000 = 2432531223
BaseRepresentation
bin101001111111…
…0100000110000
31112102102112100
41103332200300
521113422000
62103500400
7355054521
oct123764060
945372470
1022014000
1111476498
127457700
13473a048
142cd0848
151deca00
hex14fe830

22014000 has 120 divisors (see below), whose sum is σ = 76950432. Its totient is φ = 5865600.

The previous prime is 22013993. The next prime is 22014011. The reversal of 22014000 is 41022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17389 + ... + 18611.

Almost surely, 222014000 is an apocalyptic number.

22014000 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 22014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38475216).

22014000 is an abundant number, since it is smaller than the sum of its proper divisors (54936432).

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

22014000 is a wasteful number, since it uses less digits than its factorization.

22014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22014000 is about 4691.9079274854. The cubic root of 22014000 is about 280.2633576600.

Adding to 22014000 its reverse (41022), we get a palindrome (22055022).

The spelling of 22014000 in words is "twenty-two million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1223 1500 1800 2000 2250 2446 3000 3600 3669 4500 4892 6000 6115 7338 9000 9784 11007 12230 14676 18000 18345 19568 22014 24460 29352 30575 36690 44028 48920 55035 58704 61150 73380 88056 91725 97840 110070 122300 146760 152875 176112 183450 220140 244600 275175 293520 305750 366900 440280 458625 489200 550350 611500 733800 880560 917250 1100700 1223000 1375875 1467600 1834500 2201400 2446000 2751750 3669000 4402800 5503500 7338000 11007000 22014000