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23032201332320 = 255972027732133
BaseRepresentation
bin1010011110010100110100…
…01011011100011001100000
310000112212010201012221201122
411033022122023130121200
511004324422020113240
6120552502555551412
74565010264053225
oct517123213343140
9100485121187648
1023032201332320
11737a9a1227354
1226bb96575b568
13cb0c0928591b
14598a9baa594c
1529e1c15d54b5
hex14f29a2dc660

23032201332320 has 96 divisors (see below), whose sum is σ = 55001736605088. Its totient is φ = 9113391710208.

The previous prime is 23032201332299. The next prime is 23032201332331. The reversal of 23032201332320 is 2323310223032.

It is a self number, because there is not a number n which added to its sum of digits gives 23032201332320.

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, 31092974 + ... + 31825106.

It is an arithmetic number, because the mean of its divisors is an integer number (572934756303).

Almost surely, 223032201332320 is an apocalyptic number.

23032201332320 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 23032201332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27500868302544).

23032201332320 is an abundant number, since it is smaller than the sum of its proper divisors (31969535272768).

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

23032201332320 is a wasteful number, since it uses less digits than its factorization.

23032201332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734272 (or 734264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 23032201332320 its reverse (2323310223032), we get a palindrome (25355511555352).

The spelling of 23032201332320 in words is "twenty-three trillion, thirty-two billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 2027 3104 3880 4054 7760 8108 10135 15520 16216 20270 32432 40540 64864 81080 162160 196619 324320 393238 732133 786476 983095 1464266 1572952 1966190 2928532 3145904 3660665 3932380 5857064 6291808 7321330 7864760 11714128 14642660 15729520 23428256 29285320 31459040 58570640 71016901 117141280 142033802 284067604 355084505 568135208 710169010 1136270416 1420338020 1484033591 2272540832 2840676040 2968067182 5681352080 5936134364 7420167955 11362704160 11872268728 14840335910 23744537456 29680671820 47489074912 59361343640 118722687280 143951258327 237445374560 287902516654 575805033308 719756291635 1151610066616 1439512583270 2303220133232 2879025166540 4606440266464 5758050333080 11516100666160 23032201332320