Search a number
-
+
22156000 = 255329191
BaseRepresentation
bin101010010000…
…1001011100000
31112200122022121
41110201023200
521132443000
62110514024
7356215516
oct124411340
945618277
1022156000
1111563149
127505914
134789879
142d2a4b6
151e29b1a
hex15212e0

22156000 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 8512000.

The previous prime is 22155989. The next prime is 22156003. The reversal of 22156000 is 65122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22156003) 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, 115905 + ... + 116095.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 222156000 is an apocalyptic number.

22156000 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 22156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

22156000 is an abundant number, since it is smaller than the sum of its proper divisors (34453280).

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

22156000 is a wasteful number, since it uses less digits than its factorization.

22156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22156000 is about 4707.0160399132. The cubic root of 22156000 is about 280.8646739720.

The spelling of 22156000 in words is "twenty-two million, one hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 191 200 232 250 290 382 400 464 500 580 725 764 800 928 955 1000 1160 1450 1528 1910 2000 2320 2900 3056 3625 3820 4000 4640 4775 5539 5800 6112 7250 7640 9550 11078 11600 14500 15280 19100 22156 23200 23875 27695 29000 30560 38200 44312 47750 55390 58000 76400 88624 95500 110780 116000 138475 152800 177248 191000 221560 276950 382000 443120 553900 692375 764000 886240 1107800 1384750 2215600 2769500 4431200 5539000 11078000 22156000