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204204300432 = 243117322723339
BaseRepresentation
bin1011111000101110000…
…1100101100010010000
3201112002100102021110020
42332023201211202100
511321202300103212
6233450554503440
720516241625446
oct2761341454220
9645070367406
10204204300432
117966a005360
12336ab734b80
1316344372402
149c52616b96
1554a2602d8c
hex2f8b865890

204204300432 has 160 divisors (see below), whose sum is σ = 585963210240. Its totient is φ = 60760949760.

The previous prime is 204204300431. The next prime is 204204300449. The reversal of 204204300432 is 234003402402.

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

It is not an unprimeable number, because it can be changed into a prime (204204300431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8737819 + ... + 8761157.

It is an arithmetic number, because the mean of its divisors is an integer number (3662270064).

Almost surely, 2204204300432 is an apocalyptic number.

204204300432 is a gapful number since it is divisible by the number (22) 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 204204300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292981605120).

204204300432 is an abundant number, since it is smaller than the sum of its proper divisors (381758909808).

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

204204300432 is a wasteful number, since it uses less digits than its factorization.

204204300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661 (or 23655 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 204204300432 its reverse (234003402402), we get a palindrome (438207702834).

The spelling of 204204300432 in words is "two hundred four billion, two hundred four million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 227 264 292 438 454 528 584 681 803 876 908 1168 1362 1606 1752 1816 2409 2497 2724 3212 3504 3632 4818 4994 5448 6424 7491 9636 9988 10896 12848 14982 16571 19272 19976 23339 29964 33142 38544 39952 46678 49713 59928 66284 70017 93356 99426 119856 132568 140034 182281 186712 198852 256729 265136 280068 364562 373424 397704 513458 546843 560136 729124 770187 795408 1026916 1093686 1120272 1458248 1540374 1703747 2053832 2187372 2916496 3080748 3407494 4107664 4374744 5111241 5297953 6161496 6814988 8749488 10222482 10595906 12322992 13629976 15893859 18741217 20444964 21191812 27259952 31787718 37482434 40889928 42383624 56223651 58277483 63575436 74964868 81779856 84767248 112447302 116554966 127150872 149929736 174832449 224894604 233109932 254301744 299859472 349664898 386750569 449789208 466219864 699329796 773501138 899578416 932439728 1160251707 1398659592 1547002276 2320503414 2797319184 3094004552 4254256259 4641006828 6188009104 8508512518 9282013656 12762768777 17017025036 18564027312 25525537554 34034050072 51051075108 68068100144 102102150216 204204300432