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22330331320 = 23511359373379
BaseRepresentation
bin10100110010111111…
…011101000010111000
32010122020110100212011
4110302333131002320
5331213031100240
614131452255304
71420236453523
oct246277350270
963566410764
1022330331320
119519987480
1243b2471534
13214b40c7cb
14111b9abbba
158aa62e6ea
hex532fdd0b8

22330331320 has 128 divisors (see below), whose sum is σ = 55256256000. Its totient is φ = 8054484480.

The previous prime is 22330331293. The next prime is 22330331321. The reversal of 22330331320 is 2313303322.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22330331291 and 22330331300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58918891 + ... + 58919269.

It is an arithmetic number, because the mean of its divisors is an integer number (431689500).

Almost surely, 222330331320 is an apocalyptic number.

22330331320 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 22330331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628128000).

22330331320 is an abundant number, since it is smaller than the sum of its proper divisors (32925924680).

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

22330331320 is a wasteful number, since it uses less digits than its factorization.

22330331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 22330331320 its reverse (2313303322), we get a palindrome (24643634642).

The spelling of 22330331320 in words is "twenty-two billion, three hundred thirty million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 373 379 440 718 746 758 1436 1492 1516 1795 1865 1895 2872 2984 3032 3590 3730 3790 3949 4103 4169 7180 7460 7580 7898 8206 8338 14360 14920 15160 15796 16412 16676 19745 20515 20845 31592 32824 33352 39490 41030 41690 78980 82060 83380 133907 136061 141367 157960 164120 166760 267814 272122 282734 535628 544244 565468 669535 680305 706835 1071256 1088488 1130936 1339070 1360610 1413670 1472977 1496671 1555037 2678140 2721220 2827340 2945954 2993342 3110074 5356280 5442440 5654680 5891908 5986684 6220148 7364885 7483355 7775185 11783816 11973368 12440296 14729770 14966710 15550370 29459540 29933420 31100740 50750753 58919080 59866840 62201480 101501506 203003012 253753765 406006024 507507530 558258283 1015015060 1116516566 2030030120 2233033132 2791291415 4466066264 5582582830 11165165660 22330331320