Search a number
-
+
20523132200 = 2352417135251
BaseRepresentation
bin10011000111010001…
…100010010100101000
31221222021220010201102
4103013101202110220
5314012410212300
613232253540532
71324403513444
oct230721422450
957867803642
1020523132200
118781855a8a
123b891a4748
131c20b9ba0c
14dc997d824
15801b530d5
hex4c7462528

20523132200 has 96 divisors (see below), whose sum is σ = 49569952320. Its totient is φ = 7896000000.

The previous prime is 20523132197. The next prime is 20523132257. The reversal of 20523132200 is 223132502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564575 + ... + 599825.

It is an arithmetic number, because the mean of its divisors is an integer number (516353670).

Almost surely, 220523132200 is an apocalyptic number.

20523132200 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 20523132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784976160).

20523132200 is an abundant number, since it is smaller than the sum of its proper divisors (29046820120).

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

20523132200 is a wasteful number, since it uses less digits than its factorization.

20523132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35379 (or 35370 counting only the distinct ones).

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

Adding to 20523132200 its reverse (223132502), we get a palindrome (20746264702).

The spelling of 20523132200 in words is "twenty billion, five hundred twenty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 71 82 100 142 164 200 205 284 328 355 410 568 710 820 1025 1420 1640 1775 2050 2840 2911 3550 4100 5822 7100 8200 11644 14200 14555 23288 29110 35251 58220 70502 72775 116440 141004 145550 176255 282008 291100 352510 582200 705020 881275 1410040 1445291 1762550 2502821 2890582 3525100 5005642 5781164 7050200 7226455 10011284 11562328 12514105 14452910 20022568 25028210 28905820 36132275 50056420 57811640 62570525 72264550 100112840 102615661 125141050 144529100 205231322 250282100 289058200 410462644 500564200 513078305 820925288 1026156610 2052313220 2565391525 4104626440 5130783050 10261566100 20523132200