[go: up one dir, main page]

Search a number
-
+
22301440 = 285719131
BaseRepresentation
bin101010100010…
…0101100000000
31112222000211021
41111010230000
521202121230
62113555224
7360362530
oct125045400
945860737
1022301440
1111652447
127575b14
13480ab25
142d674c0
151e57c7a
hex1544b00

22301440 has 144 divisors (see below), whose sum is σ = 64753920. Its totient is φ = 7188480.

The previous prime is 22301429. The next prime is 22301441. The reversal of 22301440 is 4410322.

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

It is not an unprimeable number, because it can be changed into a prime (22301441) 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, 170175 + ... + 170305.

It is an arithmetic number, because the mean of its divisors is an integer number (449680).

Almost surely, 222301440 is an apocalyptic number.

22301440 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 22301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376960).

22301440 is an abundant number, since it is smaller than the sum of its proper divisors (42452480).

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

22301440 is a wasteful number, since it uses less digits than its factorization.

22301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22301440 is about 4722.4400472637. The cubic root of 22301440 is about 281.4778998895.

Adding to 22301440 its reverse (4410322), we get a palindrome (26711762).

The spelling of 22301440 in words is "twenty-two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 131 133 140 152 160 190 224 256 262 266 280 304 320 380 448 524 532 560 608 640 655 665 760 896 917 1048 1064 1120 1216 1280 1310 1330 1520 1792 1834 2096 2128 2240 2432 2489 2620 2660 3040 3668 4192 4256 4480 4585 4864 4978 5240 5320 6080 7336 8384 8512 8960 9170 9956 10480 10640 12160 12445 14672 16768 17024 17423 18340 19912 20960 21280 24320 24890 29344 33536 34048 34846 36680 39824 41920 42560 49780 58688 69692 73360 79648 83840 85120 87115 99560 117376 139384 146720 159296 167680 170240 174230 199120 234752 278768 293440 318592 348460 398240 557536 586880 637184 696920 796480 1115072 1173760 1393840 1592960 2230144 2787680 3185920 4460288 5575360 11150720 22301440