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216041904 = 24341312823
BaseRepresentation
bin11001110000010…
…00100110110000
3120001112001210000
430320020212300
5420301320104
633234310000
75232216531
oct1470104660
9501461700
10216041904
11100a4a531
1260428300
13359b2c60
142099a688
1513e77639
hexce089b0

216041904 has 100 divisors (see below), whose sum is σ = 673439536. Its totient is φ = 66469248.

The previous prime is 216041897. The next prime is 216041923. The reversal of 216041904 is 409140612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10437 + ... + 23259.

Almost surely, 2216041904 is an apocalyptic number.

216041904 is a gapful number since it is divisible by the number (24) 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 216041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336719768).

216041904 is an abundant number, since it is smaller than the sum of its proper divisors (457397632).

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

216041904 is a wasteful number, since it uses less digits than its factorization.

216041904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12856 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216041904 is about 14698.3639905943. The cubic root of 216041904 is about 600.0387974912.

The spelling of 216041904 in words is "two hundred sixteen million, forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 12823 16848 25646 38469 51292 76938 102584 115407 153876 166699 205168 230814 307752 333398 346221 461628 500097 615504 666796 692442 923256 1000194 1038663 1333592 1384884 1500291 1846512 2000388 2077326 2667184 2769768 3000582 4000776 4154652 4500873 5539536 6001164 8001552 8309304 9001746 12002328 13502619 16618608 18003492 24004656 27005238 36006984 54010476 72013968 108020952 216041904