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1233228528 = 243272395119
BaseRepresentation
bin100100110000001…
…1001001011110000
310011221112111111200
41021200121023300
510011201303103
6322212211200
742363161310
oct11140311360
93157474450
101233228528
11583141934
122a5009b00
13168659b2c
14b9add440
15734010a3
hex498192f0

1233228528 has 120 divisors (see below), whose sum is σ = 3961651200. Its totient is φ = 350808192.

The previous prime is 1233228487. The next prime is 1233228533. The reversal of 1233228528 is 8258223321.

It is a happy number.

1233228528 is a `hidden beast` number, since 123 + 3 + 2 + 2 + 8 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1233228492 and 1233228501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238353 + ... + 243471.

It is an arithmetic number, because the mean of its divisors is an integer number (33013760).

Almost surely, 21233228528 is an apocalyptic number.

1233228528 is a gapful number since it is divisible by the number (18) 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 1233228528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980825600).

1233228528 is an abundant number, since it is smaller than the sum of its proper divisors (2728422672).

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

1233228528 is a wasteful number, since it uses less digits than its factorization.

1233228528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5370 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1233228528 is about 35117.3536588394. The cubic root of 1233228528 is about 1072.3778973256.

The spelling of 1233228528 in words is "one billion, two hundred thirty-three million, two hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 239 252 336 478 504 717 956 1008 1434 1673 1912 2151 2868 3346 3824 4302 5019 5119 5736 6692 8604 10038 10238 11472 13384 15057 15357 17208 20076 20476 26768 30114 30714 34416 35833 40152 40952 46071 60228 61428 71666 80304 81904 92142 107499 120456 122856 143332 184284 214998 240912 245712 286664 322497 368568 429996 573328 644994 737136 859992 1223441 1289988 1719984 2446882 2579976 3670323 4893764 5159952 7340646 8564087 9787528 11010969 14681292 17128174 19575056 22021938 25692261 29362584 34256348 44043876 51384522 58725168 68512696 77076783 88087752 102769044 137025392 154153566 176175504 205538088 308307132 411076176 616614264 1233228528