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228930335637136 = 24725403732
BaseRepresentation
bin110100000011010111111111…
…010101010111111010010000
31010000120112012201010002021221
4310003113333111113322100
5220001243311410342021
62130521051101054424
766135446062652200
oct6403277725277220
91100515181102257
10228930335637136
1166a428a02a1601
1221814296257414
139a980656b27c3
144076404760400
151b7000b6de241
hexd035ff557e90

228930335637136 has 45 divisors (see below), whose sum is σ = 515970218961801. Its totient is φ = 98112819422016.

The previous prime is 228930335637077. The next prime is 228930335637191. The reversal of 228930335637136 is 631736533039822.

The square root of 228930335637136 is 15130444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1036771968400 + 227893563668736 = 1018220^2 + 15096144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 423382246 + ... + 423922618.

Almost surely, 2228930335637136 is an apocalyptic number.

228930335637136 is the 15130444-th square number.

It is an amenable number.

228930335637136 is an abundant number, since it is smaller than the sum of its proper divisors (287039883324665).

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

228930335637136 is an frugal number, since it uses more digits than its factorization.

228930335637136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080768 (or 540382 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 61.

The spelling of 228930335637136 in words is "two hundred twenty-eight trillion, nine hundred thirty billion, three hundred thirty-five million, six hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 540373 1080746 2161492 3782611 4322984 7565222 8645968 15130444 26478277 30260888 52956554 60521776 105913108 211826216 423652432 292002979129 584005958258 1168011916516 2044020853903 2336023833032 4088041707806 4672047666064 8176083415612 14308145977321 16352166831224 28616291954642 32704333662448 57232583909284 114465167818568 228930335637136