Search a number
-
+
1233496900 = 2252231812963
BaseRepresentation
bin100100110000101…
…1010101101000100
310011222001010122101
41021201122231010
510011233400100
6322222041444
742365356606
oct11141325504
93158033571
101233496900
11583305529
122a5119284
1316872202c
14b9b6d176
157345586a
hex4985ab44

1233496900 has 72 divisors (see below), whose sum is σ = 2809445184. Its totient is φ = 469180800.

The previous prime is 1233496883. The next prime is 1233496919. The reversal of 1233496900 is 96943321.

It is a super-2 number, since 2×12334969002 = 3043029204619220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1233496900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414819 + ... + 417781.

It is an arithmetic number, because the mean of its divisors is an integer number (39020072).

Almost surely, 21233496900 is an apocalyptic number.

1233496900 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 1233496900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404722592).

1233496900 is an abundant number, since it is smaller than the sum of its proper divisors (1575948284).

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

1233496900 is a wasteful number, since it uses less digits than its factorization.

1233496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 1233496900 is about 35121.1745247792. The cubic root of 1233496900 is about 1072.4556810509.

The spelling of 1233496900 in words is "one billion, two hundred thirty-three million, four hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 181 230 362 460 575 724 905 1150 1810 2300 2963 3620 4163 4525 5926 8326 9050 11852 14815 16652 18100 20815 29630 41630 59260 68149 74075 83260 104075 136298 148150 208150 272596 296300 340745 416300 536303 681490 1072606 1362980 1703725 2145212 2681515 3407450 5363030 6814900 10726060 12334969 13407575 24669938 26815150 49339876 53630300 61674845 123349690 246699380 308374225 616748450 1233496900