Search a number
-
+
20330022400 = 29526132591
BaseRepresentation
bin10010111011110000…
…111000011000000000
31221110211112010212121
4102323300320120000
5313113441204100
613201154534024
71316540224222
oct227360703000
957424463777
1020330022400
118692849806
123b34597314
131bbcb8796c
14dac072412
157dec0a51a
hex4bbc38600

20330022400 has 120 divisors (see below), whose sum is σ = 50470858944. Its totient is φ = 8115609600.

The previous prime is 20330022389. The next prime is 20330022421. The reversal of 20330022400 is 422003302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7845105 + ... + 7847695.

Almost surely, 220330022400 is an apocalyptic number.

20330022400 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 20330022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235429472).

20330022400 is an abundant number, since it is smaller than the sum of its proper divisors (30140836544).

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

20330022400 is an equidigital number, since it uses as much as digits as its factorization.

20330022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20330022400 its reverse (422003302), we get a palindrome (20752025702).

The spelling of 20330022400 in words is "twenty billion, three hundred thirty million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 613 640 800 1226 1280 1600 2452 2560 2591 3065 3200 4904 5182 6130 6400 9808 10364 12260 12800 12955 15325 19616 20728 24520 25910 30650 39232 41456 49040 51820 61300 64775 78464 82912 98080 103640 122600 129550 156928 165824 196160 207280 245200 259100 313856 331648 392320 414560 490400 518200 663296 784640 829120 980800 1036400 1326592 1569280 1588283 1658240 1961600 2072800 3176566 3316480 3923200 4145600 6353132 6632960 7846400 7941415 8291200 12706264 15882830 16582400 25412528 31765660 33164800 39707075 50825056 63531320 79414150 101650112 127062640 158828300 203300224 254125280 317656600 406600448 508250560 635313200 813200896 1016501120 1270626400 2033002240 2541252800 4066004480 5082505600 10165011200 20330022400