Search a number
-
+
1219253223204 = 223273225212
BaseRepresentation
bin10001101111100001001…
…001111011111100100100
311022120002212001012001100
4101233201021323330210
5124434012311120304
62332041152000100
7154042142254062
oct21574111737444
94276085035040
101219253223204
1143009a727705
12178371530030
138ac8a355c83
144302557b032
1521ab00e4439
hex11be127bf24

1219253223204 has 81 divisors (see below), whose sum is σ = 3126038742099. Its totient is φ = 400691370240.

The previous prime is 1219253223157. The next prime is 1219253223217. The reversal of 1219253223204 is 4023223529121.

The square root of 1219253223204 is 1104198.

It is a perfect power (a square), and thus also a powerful number.

1219253223204 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 2 + 5 + 322 + 320 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493267428900 + 725985794304 = 702330^2 + 852048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 483637464 + ... + 483639984.

Almost surely, 21219253223204 is an apocalyptic number.

1219253223204 is the 1104198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1219253223204

1219253223204 is an abundant number, since it is smaller than the sum of its proper divisors (1906785518895).

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

1219253223204 is an frugal number, since it uses more digits than its factorization.

1219253223204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 1219253223204 by its sum of digits (36), we get a square (43893116035344 = 66251882).

1219253223204 divided by its sum of digits (36) gives a square (33868145089 = 1840332).

The spelling of 1219253223204 in words is "one trillion, two hundred nineteen billion, two hundred fifty-three million, two hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2521 2628 5042 5329 7563 10084 10658 15126 15987 21316 22689 30252 31974 45378 47961 63948 90756 95922 184033 191844 368066 552099 736132 1104198 1656297 2208396 3312594 6355441 6625188 12710882 13434409 19066323 25421764 26868818 38132646 40303227 53737636 57198969 76265292 80606454 114397938 120909681 161212908 228795876 241819362 463947193 483638724 927894386 1391841579 1855788772 2783683158 4175524737 5567366316 8351049474 16702098948 33868145089 67736290178 101604435267 135472580356 203208870534 304813305801 406417741068 609626611602 1219253223204