Search a number
-
+
1233222144 = 29371110427
BaseRepresentation
bin100100110000001…
…0111101000000000
310011221112011202020
41021200113220000
510011201102034
6322212121440
742363133560
oct11140275000
93157464666
101233222144
11583138060
122a5006280
13168656c5b
14b9adada0
15733ee249
hex49817a00

1233222144 has 160 divisors (see below), whose sum is σ = 4096452096. Its totient is φ = 320286720.

The previous prime is 1233222139. The next prime is 1233222229. The reversal of 1233222144 is 4412223321.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113059 + ... + 123485.

Almost surely, 21233222144 is an apocalyptic number.

1233222144 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 1233222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048226048).

1233222144 is an abundant number, since it is smaller than the sum of its proper divisors (2863229952).

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

1233222144 is a wasteful number, since it uses less digits than its factorization.

1233222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466 (or 10450 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1233222144 is about 35117.2627634900. The cubic root of 1233222144 is about 1072.3760468785.

Adding to 1233222144 its reverse (4412223321), we get a palindrome (5645445465).

The spelling of 1233222144 in words is "one billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10427 10752 14784 16896 19712 20854 29568 31281 39424 41708 59136 62562 72989 83416 114697 118272 125124 145978 166832 218967 229394 250248 291956 333664 344091 437934 458788 500496 583912 667328 688182 802879 875868 917576 1000992 1167824 1334656 1376364 1605758 1751736 1835152 2001984 2335648 2408637 2669312 2752728 3211516 3503472 3670304 4003968 4671296 4817274 5338624 5505456 6423032 7006944 7340608 8007936 9342592 9634548 11010912 12846064 14013888 14681216 16015872 18685184 19269096 22021824 25692128 28027776 29362432 37370368 38538192 44043648 51384256 56055552 58724864 77076384 88087296 102768512 112111104 154152768 176174592 205537024 308305536 411074048 616611072 1233222144