Search a number
-
+
22034240 = 265371861
BaseRepresentation
bin101010000001…
…1011101000000
31112110110021222
41110003131000
521120043430
62104134212
7355200524
oct124033500
945413258
1022034240
111148a718
127467368
134746317
142cd7d84
151e039e5
hex1503740

22034240 has 56 divisors (see below), whose sum is σ = 53916072. Its totient is φ = 8570880.

The previous prime is 22034239. The next prime is 22034249. The reversal of 22034240 is 4243022.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 21381376 = 808^2 + 4624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10910 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (962787).

Almost surely, 222034240 is an apocalyptic number.

22034240 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 22034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958036).

22034240 is an abundant number, since it is smaller than the sum of its proper divisors (31881832).

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

22034240 is a wasteful number, since it uses less digits than its factorization.

22034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 22034240 is about 4694.0643370112. The cubic root of 22034240 is about 280.3492241204.

Adding to 22034240 its reverse (4243022), we get a palindrome (26277262).

The spelling of 22034240 in words is "twenty-two million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 1861 2368 2960 3722 5920 7444 9305 11840 14888 18610 29776 37220 59552 68857 74440 119104 137714 148880 275428 297760 344285 550856 595520 688570 1101712 1377140 2203424 2754280 4406848 5508560 11017120 22034240