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20205233120 = 255293430999
BaseRepresentation
bin10010110100010100…
…110110001111100000
31221011010201012011102
4102310110312033200
5312340014424440
613140540133532
71313463435122
oct226424661740
957133635142
1020205233120
118629366776
123aba8372a8
131ba0074b57
14d9966b212
157d3caab15
hex4b45363e0

20205233120 has 48 divisors (see below), whose sum is σ = 47897892000. Its totient is φ = 8054490624.

The previous prime is 20205233117. The next prime is 20205233123. The reversal of 20205233120 is 2133250202.

It is an interprime number because it is at equal distance from previous prime (20205233117) and next prime (20205233123).

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 = 20205233092 and 20205233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205233123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168620 + ... + 262379.

It is an arithmetic number, because the mean of its divisors is an integer number (997872750).

Almost surely, 220205233120 is an apocalyptic number.

20205233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20205233120 is an abundant number, since it is smaller than the sum of its proper divisors (27692658880).

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

20205233120 is a wasteful number, since it uses less digits than its factorization.

20205233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431307 (or 431299 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 20205233120 its reverse (2133250202), we get a palindrome (22338483322).

The spelling of 20205233120 in words is "twenty billion, two hundred five million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 5860 9376 11720 23440 46880 430999 861998 1723996 2154995 3447992 4309990 6895984 8619980 13791968 17239960 34479920 68959840 126282707 252565414 505130828 631413535 1010261656 1262827070 2020523312 2525654140 4041046624 5051308280 10102616560 20205233120