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23312400320 = 265119297129
BaseRepresentation
bin10101101101100001…
…101111111111000000
32020011200101122021002
4111231201233333000
5340220433302240
614413133351132
71453463063456
oct255541577700
966150348232
1023312400320
119983273450
1246273384a8
132276a0c221
1411b21ac9d6
1591696cd15
hex56d86ffc0

23312400320 has 112 divisors (see below), whose sum is σ = 60632949600. Its totient is φ = 8466923520.

The previous prime is 23312400257. The next prime is 23312400337. The reversal of 23312400320 is 2300421332.

It is a super-2 number, since 2×233124003202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23312400292 and 23312400301.

It is a congruent number.

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, 3266516 + ... + 3273644.

Almost surely, 223312400320 is an apocalyptic number.

23312400320 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 23312400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30316474800).

23312400320 is an abundant number, since it is smaller than the sum of its proper divisors (37320549280).

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

23312400320 is a wasteful number, since it uses less digits than its factorization.

23312400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23312400320 its reverse (2300421332), we get a palindrome (25612821652).

The spelling of 23312400320 in words is "twenty-three billion, three hundred twelve million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 929 1760 1858 3520 3716 4645 7129 7432 9290 10219 14258 14864 18580 20438 28516 29728 35645 37160 40876 51095 57032 59456 71290 74320 78419 81752 102190 114064 142580 148640 156838 163504 204380 228128 285160 297280 313676 327008 392095 408760 456256 570320 627352 654016 784190 817520 1140640 1254704 1568380 1635040 2281280 2509408 3136760 3270080 5018816 6273520 6622841 12547040 13245682 25094080 26491364 33114205 52982728 66228410 72851251 105965456 132456820 145702502 211930912 264913640 291405004 364256255 423861824 529827280 582810008 728512510 1059654560 1165620016 1457025020 2119309120 2331240032 2914050040 4662480064 5828100080 11656200160 23312400320