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212233403004 = 223711339115717
BaseRepresentation
bin1100010110101000011…
…0001011101001111100
3202021210220120221120120
43011222012023221330
511434123222344004
6241255414214540
721222225105660
oct3055206135174
9667726527516
10212233403004
118200a24aa17
1235170654450
1317023934b8c
14a3b4ad88a0
1557c244b3d9
hex316a18ba7c

212233403004 has 96 divisors (see below), whose sum is σ = 571210085376. Its totient is φ = 60075617280.

The previous prime is 212233402987. The next prime is 212233403009. The reversal of 212233403004 is 400304332212.

212233403004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233403009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37120354 + ... + 37126070.

It is an arithmetic number, because the mean of its divisors is an integer number (5950105056).

Almost surely, 2212233403004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212233403004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285605042688).

212233403004 is an abundant number, since it is smaller than the sum of its proper divisors (358976682372).

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

212233403004 is a wasteful number, since it uses less digits than its factorization.

212233403004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 212233403004 its reverse (400304332212), we get a palindrome (612537735216).

The spelling of 212233403004 in words is "two hundred twelve billion, two hundred thirty-three million, four hundred three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 3911 4746 5717 7822 9492 11434 11733 15644 17151 22868 23466 27377 34302 40019 46932 54754 68604 80038 82131 109508 120057 160076 164262 240114 328524 441943 480228 646021 883886 1292042 1325829 1767772 1938063 2584084 2651658 3093601 3876126 4522147 5303316 6187202 7752252 9044294 9280803 12374404 13566441 18088588 18561606 22359187 27132882 37123212 44718374 54265764 67077561 89436748 134155122 156514309 268310244 313028618 469542927 626057236 939085854 1878171708 2526588131 5053176262 7579764393 10106352524 15159528786 17686116917 30319057572 35372233834 53058350751 70744467668 106116701502 212233403004