Search a number
-
+
22400344320 = 283543135661
BaseRepresentation
bin10100110111001010…
…100010000100000000
32010211010012101122020
4110313022202010000
5331333442004240
614142433041440
71422046533204
oct246712420400
963733171566
1022400344320
119555457262
1244119b6280
13215ca84213
141126dd4b04
158b185e0d0
hex5372a2100

22400344320 has 144 divisors (see below), whose sum is σ = 73205385792. Its totient is φ = 5834465280.

The previous prime is 22400344319. The next prime is 22400344387. The reversal of 22400344320 is 2344300422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97290 + ... + 232950.

Almost surely, 222400344320 is an apocalyptic number.

22400344320 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 22400344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602692896).

22400344320 is an abundant number, since it is smaller than the sum of its proper divisors (50805041472).

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

22400344320 is a wasteful number, since it uses less digits than its factorization.

22400344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135728 (or 135714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22400344320 its reverse (2344300422), we get a palindrome (24744644742).

The spelling of 22400344320 in words is "twenty-two billion, four hundred million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 860 960 1032 1280 1290 1376 1720 1920 2064 2580 2752 3440 3840 4128 5160 5504 6880 8256 10320 11008 13760 16512 20640 27520 33024 41280 55040 82560 135661 165120 271322 406983 542644 678305 813966 1085288 1356610 1627932 2034915 2170576 2713220 3255864 4069830 4341152 5426440 5833423 6511728 8139660 8682304 10852880 11666846 13023456 16279320 17364608 17500269 21705760 23333692 26046912 29167115 32558640 34729216 35000538 43411520 46667384 52093824 58334230 65117280 70001076 86823040 87501345 93334768 104187648 116668460 130234560 140002152 173646080 175002690 186669536 233336920 260469120 280004304 350005380 373339072 466673840 520938240 560008608 700010760 746678144 933347680 1120017216 1400021520 1493356288 1866695360 2240034432 2800043040 3733390720 4480068864 5600086080 7466781440 11200172160 22400344320