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2320234032400 = 245249925934483
BaseRepresentation
bin100001110000111000101…
…110011010110100010000
322012210221002200020001121
4201300320232122310100
5301003314403014100
64533522323412024
7326426363603464
oct41607056326420
98183832606047
102320234032400
11815007694109
12315815824014
1313aa493ac3cb
148042add84a4
154054bc3551a
hex21c38b9ad10

2320234032400 has 120 divisors (see below), whose sum is σ = 5588933828000. Its totient is φ = 925669969920.

The previous prime is 2320234032313. The next prime is 2320234032409. The reversal of 2320234032400 is 42304320232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2320234032409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517560559 + ... + 517565041.

Almost surely, 22320234032400 is an apocalyptic number.

2320234032400 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 2320234032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794466914000).

2320234032400 is an abundant number, since it is smaller than the sum of its proper divisors (3268699795600).

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

2320234032400 is a wasteful number, since it uses less digits than its factorization.

2320234032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2320234032400 its reverse (42304320232), we get a palindrome (2362538352632).

The spelling of 2320234032400 in words is "two trillion, three hundred twenty billion, two hundred thirty-four million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 499 998 1996 2495 2593 3992 4483 4990 5186 7984 8966 9980 10372 12475 12965 17932 19960 20744 22415 24950 25930 35864 39920 41488 44830 49900 51860 64825 71728 89660 99800 103720 112075 129650 179320 199600 207440 224150 259300 358640 448300 518600 896600 1037200 1293907 1793200 2237017 2587814 4474034 5175628 6469535 8948068 10351256 11185085 11624419 12939070 17896136 20702512 22370170 23248838 25878140 32347675 35792272 44740340 46497676 51756280 55925425 58122095 64695350 89480680 92995352 103512560 111850850 116244190 129390700 178961360 185990704 223701700 232488380 258781400 290610475 447403400 464976760 517562800 581220950 894806800 929953520 1162441900 2324883800 4649767600 5800585081 11601170162 23202340324 29002925405 46404680648 58005850810 92809361296 116011701620 145014627025 232023403240 290029254050 464046806480 580058508100 1160117016200 2320234032400