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23222133120 = 273533313631
BaseRepresentation
bin10101101000001001…
…011010000110000000
32012221101112120221110
4111220021122012000
5340024331224440
614400150523320
71451315606004
oct255011320600
965841476843
1023222133120
11993731a35a
124601066540
1322610c5794
1411a41d2704
1590da8c080
hex56825a180

23222133120 has 128 divisors (see below), whose sum is σ = 74063162880. Its totient is φ = 6189004800.

The previous prime is 23222133107. The next prime is 23222133157. The reversal of 23222133120 is 2133122232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 6393705 + ... + 6397335.

It is an arithmetic number, because the mean of its divisors is an integer number (578618460).

Almost surely, 223222133120 is an apocalyptic number.

23222133120 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 23222133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37031581440).

23222133120 is an abundant number, since it is smaller than the sum of its proper divisors (50841029760).

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

23222133120 is a wasteful number, since it uses less digits than its factorization.

23222133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23222133120 its reverse (2133122232), we get a palindrome (25355255352).

The spelling of 23222133120 in words is "twenty-three billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3331 3631 6662 7262 9993 10893 13324 14524 16655 18155 19986 21786 26648 29048 33310 36310 39972 43572 49965 53296 54465 58096 66620 72620 79944 87144 99930 106592 108930 116192 133240 145240 159888 174288 199860 213184 217860 232384 266480 290480 319776 348576 399720 426368 435720 464768 532960 580960 639552 697152 799440 871440 1065920 1161920 1279104 1394304 1598880 1742880 2131840 2323840 3197760 3485760 6395520 6971520 12094861 24189722 36284583 48379444 60474305 72569166 96758888 120948610 145138332 181422915 193517776 241897220 290276664 362845830 387035552 483794440 580553328 725691660 774071104 967588880 1161106656 1451383320 1548142208 1935177760 2322213312 2902766640 3870355520 4644426624 5805533280 7740711040 11611066560 23222133120