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22323223320 = 23353712234111
BaseRepresentation
bin10100110010100100…
…010101101100011000
32010121202002020111220
4110302210111230120
5331204221121240
614131040052040
71420122160506
oct246244255430
963552066456
1022323223320
1195159720a2
1243b0004020
132149ac13a8
14111aa7b676
158a9bc85d0
hex532915b18

22323223320 has 128 divisors (see below), whose sum is σ = 68852643840. Its totient is φ = 5785827840.

The previous prime is 22323223289. The next prime is 22323223327. The reversal of 22323223320 is 2332232322.

It is a super-3 number, since 3×223232233203 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323223327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5428065 + ... + 5432175.

It is an arithmetic number, because the mean of its divisors is an integer number (537911280).

Almost surely, 222323223320 is an apocalyptic number.

22323223320 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 22323223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426321920).

22323223320 is an abundant number, since it is smaller than the sum of its proper divisors (46529420520).

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

22323223320 is a wasteful number, since it uses less digits than its factorization.

22323223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 22323223320 its reverse (2332232322), we get a palindrome (24655455642).

The spelling of 22323223320 in words is "twenty-two billion, three hundred twenty-three million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1223 1480 2220 2446 3669 4111 4440 4892 6115 7338 8222 9784 12230 12333 14676 16444 18345 20555 24460 24666 29352 32888 36690 41110 45251 48920 49332 61665 73380 82220 90502 98664 123330 135753 146760 152107 164440 181004 226255 246660 271506 304214 362008 452510 456321 493320 543012 608428 678765 760535 905020 912642 1086024 1216856 1357530 1521070 1810040 1825284 2281605 2715060 3042140 3650568 4563210 5027753 5430120 6084280 9126420 10055506 15083259 18252840 20111012 25138765 30166518 40222024 50277530 60333036 75416295 100555060 120666072 150832590 186026861 201110120 301665180 372053722 558080583 603330360 744107444 930134305 1116161166 1488214888 1860268610 2232322332 2790402915 3720537220 4464644664 5580805830 7441074440 11161611660 22323223320