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214225664333280 = 2535446303467361
BaseRepresentation
bin110000101101011001001100…
…100111111101010111100000
31001002111202212212210220120120
4300231121030213331113200
5211034333130032131110
62035341524522240240
763060202445115315
oct6055311447752740
91032452785726516
10214225664333280
1162293659734626
122003a451656080
13926c51659a502
143ac881284cd0c
1519b777b5ad870
hexc2d64c9fd5e0

214225664333280 has 48 divisors (see below), whose sum is σ = 674810842651344. Its totient is φ = 57126843822080.

The previous prime is 214225664333279. The next prime is 214225664333323. The reversal of 214225664333280 is 82333466522412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223151733201 + ... + 223151734160.

It is an arithmetic number, because the mean of its divisors is an integer number (14058559221903).

Almost surely, 2214225664333280 is an apocalyptic number.

214225664333280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214225664333280 is an abundant number, since it is smaller than the sum of its proper divisors (460585178318064).

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

214225664333280 is a wasteful number, since it uses less digits than its factorization.

214225664333280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446303467379 (or 446303467371 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 214225664333280 in words is "two hundred fourteen trillion, two hundred twenty-five billion, six hundred sixty-four million, three hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 446303467361 892606934722 1338910402083 1785213869444 2231517336805 2677820804166 3570427738888 4463034673610 5355641608332 6694552010415 7140855477776 8926069347220 10711283216664 13389104020830 14281710955552 17852138694440 21422566433328 26778208041660 35704277388880 42845132866656 53556416083320 71408554777760 107112832166640 214225664333280