Search a number
-
+
22621440 = 283543137
BaseRepresentation
bin101011001001…
…0110100000000
31120120021210010
41112102310000
521242341230
62124504520
7363164502
oct126226400
946507703
1022621440
1111850906
1276ab140
1348c068a
14300bd72
151ebc9b0
hex1592d00

22621440 has 144 divisors (see below), whose sum is σ = 74467008. Its totient is φ = 5849088.

The previous prime is 22621439. The next prime is 22621447. The reversal of 22621440 is 4412622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22621447) 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, 165052 + ... + 165188.

It is an arithmetic number, because the mean of its divisors is an integer number (517132).

Almost surely, 222621440 is an apocalyptic number.

22621440 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 22621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37233504).

22621440 is an abundant number, since it is smaller than the sum of its proper divisors (51845568).

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

22621440 is a wasteful number, since it uses less digits than its factorization.

22621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22621440 is about 4756.2001639965. The cubic root of 22621440 is about 282.8178061233.

The spelling of 22621440 in words is "twenty-two million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 137 160 172 192 215 240 256 258 274 320 344 384 411 430 480 516 548 640 645 685 688 768 822 860 960 1032 1096 1280 1290 1370 1376 1644 1720 1920 2055 2064 2192 2580 2740 2752 3288 3440 3840 4110 4128 4384 5160 5480 5504 5891 6576 6880 8220 8256 8768 10320 10960 11008 11782 13152 13760 16440 16512 17536 17673 20640 21920 23564 26304 27520 29455 32880 33024 35072 35346 41280 43840 47128 52608 55040 58910 65760 70692 82560 87680 88365 94256 105216 117820 131520 141384 165120 175360 176730 188512 235640 263040 282768 353460 377024 471280 526080 565536 706920 754048 942560 1131072 1413840 1508096 1885120 2262144 2827680 3770240 4524288 5655360 7540480 11310720 22621440