Search a number
-
+
20134420224 = 283103359709
BaseRepresentation
bin10010110000000110…
…101101111100000000
31220222012110112010120
4102300012231330000
5312213402421344
613125530300240
71311643514412
oct226006557400
956865415116
1020134420224
1185a239aa16
123a9ab87680
131b8b4b0329
14d900b69b2
157cc96e219
hex4b01adf00

20134420224 has 144 divisors (see below), whose sum is σ = 54334425600. Its totient is φ = 6618451968.

The previous prime is 20134420219. The next prime is 20134420231. The reversal of 20134420224 is 42202443102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20134420194 and 20134420203.

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, 28397982 + ... + 28398690.

It is an arithmetic number, because the mean of its divisors is an integer number (377322400).

Almost surely, 220134420224 is an apocalyptic number.

20134420224 is a gapful number since it is divisible by the number (24) 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 20134420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27167212800).

20134420224 is an abundant number, since it is smaller than the sum of its proper divisors (34200005376).

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

20134420224 is a wasteful number, since it uses less digits than its factorization.

20134420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20134420224 its reverse (42202443102), we get a palindrome (62336863326).

The spelling of 20134420224 in words is "twenty billion, one hundred thirty-four million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 359 384 412 618 709 718 768 824 1077 1236 1418 1436 1648 2127 2154 2472 2836 2872 3296 4254 4308 4944 5672 5744 6592 8508 8616 9888 11344 11488 13184 17016 17232 19776 22688 22976 26368 34032 34464 36977 39552 45376 45952 68064 68928 73027 73954 79104 90752 91904 110931 136128 137856 146054 147908 181504 219081 221862 254531 272256 275712 292108 295816 438162 443724 509062 544512 584216 591632 763593 876324 887448 1018124 1168432 1183264 1527186 1752648 1774896 2036248 2336864 2366528 3054372 3505296 3549792 4072496 4673728 4733056 6108744 7010592 7099584 8144992 9347456 9466112 12217488 14021184 14199168 16289984 18694912 24434976 26216693 28042368 28398336 32579968 48869952 52433386 56084736 65159936 78650079 97739904 104866772 157300158 195479808 209733544 314600316 419467088 629200632 838934176 1258401264 1677868352 2516802528 3355736704 5033605056 6711473408 10067210112 20134420224