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214904402888 = 23717472102191
BaseRepresentation
bin1100100000100101001…
…1001111001111001000
3202112201001112210121012
43020021103033033020
512010111011343023
6242420431103052
721345350166440
oct3101123171710
9675631483535
10214904402888
118315aa2973a
1235797071a88
131735b106796
14a58973d120
1558cbba3978
hex32094cf3c8

214904402888 has 96 divisors (see below), whose sum is σ = 498198263040. Its totient is φ = 84838955520.

The previous prime is 214904402851. The next prime is 214904402927. The reversal of 214904402888 is 888204409412.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2051873 + ... + 2154063.

It is an arithmetic number, because the mean of its divisors is an integer number (5189565240).

Almost surely, 2214904402888 is an apocalyptic number.

214904402888 is a gapful number since it is divisible by the number (28) 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 214904402888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249099131520).

214904402888 is an abundant number, since it is smaller than the sum of its proper divisors (283293860152).

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

214904402888 is a wasteful number, since it uses less digits than its factorization.

214904402888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102315 (or 102264 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The spelling of 214904402888 in words is "two hundred fourteen billion, nine hundred four million, four hundred two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2209 2632 3196 4418 5593 6392 8836 11186 15463 17672 22372 30926 37553 44744 61852 75106 102191 123704 150212 204382 262871 300424 408764 525742 715337 817528 1051484 1430674 1737247 2102968 2861348 3474494 4802977 5722696 6948988 9605954 12160729 13897976 19211908 24321458 33620839 38423816 48642916 67241678 81650609 97285832 134483356 163301218 225739919 268966712 326602436 451479838 571554263 653204872 902959676 1143108526 1580179433 1805919352 2286217052 3160358866 3837578623 4572434104 6320717732 7675157246 12641435464 15350314492 26863050361 30700628984 53726100722 107452201444 214904402888