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2200124040 = 2335131173809
BaseRepresentation
bin1000001100100011…
…0011101010001000
312200022220212210120
42003020303222020
514001212432130
61002152143240
7105343513542
oct20310635210
95608825716
102200124040
11a29a04834
12514997b20
13290a75c5a
1416c2b0692
15cd243910
hex83233a88

2200124040 has 128 divisors (see below), whose sum is σ = 6697468800. Its totient is φ = 578140160.

The previous prime is 2200124039. The next prime is 2200124051. The reversal of 2200124040 is 404210022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719156 + ... + 2719964.

It is an arithmetic number, because the mean of its divisors is an integer number (52323975).

Almost surely, 22200124040 is an apocalyptic number.

2200124040 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 2200124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348734400).

2200124040 is an abundant number, since it is smaller than the sum of its proper divisors (4497344760).

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

2200124040 is a wasteful number, since it uses less digits than its factorization.

2200124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2200124040 is about 46905.4798504396. The cubic root of 2200124040 is about 1300.6158896288.

Adding to 2200124040 its reverse (404210022), we get a palindrome (2604334062).

The spelling of 2200124040 in words is "two billion, two hundred million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 173 262 346 393 519 524 655 692 786 809 865 1038 1048 1310 1384 1572 1618 1730 1965 2076 2427 2595 2620 3144 3236 3460 3930 4045 4152 4854 5190 5240 6472 6920 7860 8090 9708 10380 12135 15720 16180 19416 20760 22663 24270 32360 45326 48540 67989 90652 97080 105979 113315 135978 139957 181304 211958 226630 271956 279914 317937 339945 419871 423916 453260 529895 543912 559828 635874 679890 699785 839742 847832 906520 1059790 1119656 1271748 1359780 1399570 1589685 1679484 2099355 2119580 2543496 2719560 2799140 3179370 3358968 4198710 4239160 5598280 6358740 8397420 12717480 16794840 18334367 36668734 55003101 73337468 91671835 110006202 146674936 183343670 220012404 275015505 366687340 440024808 550031010 733374680 1100062020 2200124040