Search a number
-
+
1224125160 = 2335194391223
BaseRepresentation
bin100100011110110…
…1010101011101000
310011022102000000220
41020331222223220
510001334001120
6321245130040
742222615006
oct11075525350
93138360026
101224125160
11578a94395
122a1b59920
131667c041b
14b880da76
1572703b40
hex48f6aae8

1224125160 has 128 divisors (see below), whose sum is σ = 3877632000. Its totient is φ = 308295936.

The previous prime is 1224125143. The next prime is 1224125167. The reversal of 1224125160 is 615214221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1224125160.

It is not an unprimeable number, because it can be changed into a prime (1224125167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000309 + ... + 1001531.

It is an arithmetic number, because the mean of its divisors is an integer number (30294000).

Almost surely, 21224125160 is an apocalyptic number.

1224125160 is a gapful number since it is divisible by the number (10) 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 1224125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938816000).

1224125160 is an abundant number, since it is smaller than the sum of its proper divisors (2653506840).

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

1224125160 is a wasteful number, since it uses less digits than its factorization.

1224125160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1224125160 is about 34987.5000535906. The cubic root of 1224125160 is about 1069.7327075669.

Adding to 1224125160 its reverse (615214221), we get a palindrome (1839339381).

It can be divided in two parts, 12241 and 25160, that added together give a triangular number (37401 = T273).

The spelling of 1224125160 in words is "one billion, two hundred twenty-four million, one hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 439 456 570 760 878 1140 1223 1317 1756 2195 2280 2446 2634 3512 3669 4390 4892 5268 6115 6585 7338 8341 8780 9784 10536 12230 13170 14676 16682 17560 18345 23237 24460 25023 26340 29352 33364 36690 41705 46474 48920 50046 52680 66728 69711 73380 83410 92948 100092 116185 125115 139422 146760 166820 185896 200184 232370 250230 278844 333640 348555 464740 500460 536897 557688 697110 929480 1000920 1073794 1394220 1610691 2147588 2684485 2788440 3221382 4295176 5368970 6442764 8053455 10201043 10737940 12885528 16106910 20402086 21475880 30603129 32213820 40804172 51005215 61206258 64427640 81608344 102010430 122412516 153015645 204020860 244825032 306031290 408041720 612062580 1224125160