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1230244224 = 273111915329
BaseRepresentation
bin100100101010100…
…0000100110000000
310011201220212210220
41021111000212000
510004420303344
6322024223040
742325621566
oct11125004600
93151825726
101230244224
11581493770
122a400aa80
13167b53681
14b9563a36
1573011c19
hex49540980

1230244224 has 128 divisors (see below), whose sum is σ = 3752784000. Its totient is φ = 353157120.

The previous prime is 1230244189. The next prime is 1230244261. The reversal of 1230244224 is 4224420321.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 1230244194 and 1230244203.

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, 72592 + ... + 87920.

It is an arithmetic number, because the mean of its divisors is an integer number (29318625).

Almost surely, 21230244224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876392000).

1230244224 is an abundant number, since it is smaller than the sum of its proper divisors (2522539776).

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

1230244224 is a wasteful number, since it uses less digits than its factorization.

1230244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 15364 counting only the distinct ones).

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

The square root of 1230244224 is about 35074.8374764588. The cubic root of 1230244224 is about 1071.5121787303.

Adding to 1230244224 its reverse (4224420321), we get a palindrome (5454664545).

The spelling of 1230244224 in words is "one billion, two hundred thirty million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 15329 20064 26752 30658 40128 45987 61316 80256 91974 122632 168619 183948 245264 291251 337238 367896 490528 505857 582502 674476 735792 873753 981056 1011714 1165004 1348952 1471584 1747506 1962112 2023428 2330008 2697904 2943168 3203761 3495012 4046856 4660016 5395808 5886336 6407522 6990024 8093712 9320032 9611283 10791616 12815044 13980048 16187424 18640064 19222566 21583232 25630088 27960096 32374848 37280128 38445132 51260176 55920192 64749696 76890264 102520352 111840384 153780528 205040704 307561056 410081408 615122112 1230244224