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22061400 = 2335283443
BaseRepresentation
bin101010000101…
…0000101011000
31112111211112220
41110022011120
521121431100
62104504040
7355342644
oct124120530
945454486
1022061400
11114a9069
12747b020
1347557aa
142d03c24
151e0baa0
hex150a158

22061400 has 96 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 5799040.

The previous prime is 22061383. The next prime is 22061401. The reversal of 22061400 is 416022.

22061400 = 52 + 62 + ... + 4042.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22061400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22061401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49579 + ... + 50021.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 222061400 is an apocalyptic number.

22061400 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 22061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

22061400 is an abundant number, since it is smaller than the sum of its proper divisors (47309160).

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

22061400 is a wasteful number, since it uses less digits than its factorization.

22061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

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

The square root of 22061400 is about 4696.9564613694. The cubic root of 22061400 is about 280.4643655025.

Adding to 22061400 its reverse (416022), we get a palindrome (22477422).

The spelling of 22061400 in words is "twenty-two million, sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 443 498 600 664 830 886 996 1245 1329 1660 1772 1992 2075 2215 2490 2658 3320 3544 4150 4430 4980 5316 6225 6645 8300 8860 9960 10632 11075 12450 13290 16600 17720 22150 24900 26580 33225 36769 44300 49800 53160 66450 73538 88600 110307 132900 147076 183845 220614 265800 294152 367690 441228 551535 735380 882456 919225 1103070 1470760 1838450 2206140 2757675 3676900 4412280 5515350 7353800 11030700 22061400