Search a number
-
+
1224253044 = 2232725231327
BaseRepresentation
bin100100011111000…
…1001111001110100
310011022122111110100
41020332021321310
510001402044134
6321251554100
742223656600
oct11076117164
93138574410
101224253044
11579071483
122a1bbb930
131668366b1
14b8844500
157272b999
hex48f89e74

1224253044 has 108 divisors (see below), whose sum is σ = 3609488064. Its totient is φ = 348854688.

The previous prime is 1224253027. The next prime is 1224253057. The reversal of 1224253044 is 4403524221.

1224253044 is a `hidden beast` number, since 122 + 4 + 2 + 530 + 4 + 4 = 666.

1224253044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1224252999 and 1224253017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 921909 + ... + 923235.

Almost surely, 21224253044 is an apocalyptic number.

1224253044 is a gapful number since it is divisible by the number (14) 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 1224253044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804744032).

1224253044 is an abundant number, since it is smaller than the sum of its proper divisors (2385235020).

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

1224253044 is a wasteful number, since it uses less digits than its factorization.

1224253044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1224253044 is about 34989.3275728471. The cubic root of 1224253044 is about 1069.7699578248.

Adding to 1224253044 its reverse (4403524221), we get a palindrome (5627777265).

The spelling of 1224253044 in words is "one billion, two hundred twenty-four million, two hundred fifty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 523 588 882 1046 1327 1569 1764 2092 2654 3138 3661 3981 4707 5308 6276 7322 7962 9289 9414 10983 11943 14644 15924 18578 18828 21966 23886 25627 27867 32949 37156 43932 47772 51254 55734 65023 65898 76881 83601 102508 111468 130046 131796 153762 167202 195069 230643 260092 307524 334404 390138 461286 585207 694021 780276 922572 1170414 1388042 2082063 2340828 2776084 4164126 4858147 6246189 8328252 9716294 12492378 14574441 19432588 24984756 29148882 34007029 43723323 58297764 68014058 87446646 102021087 136028116 174893292 204042174 306063261 408084348 612126522 1224253044