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2232338451553 = 74730492225393
BaseRepresentation
bin100000011111000001101…
…111011000110001100001
321220102001111122002022101
4200133001233120301201
5243033312120422203
64425304440210401
7320165266520650
oct40370157306141
97812044562271
102232338451553
1179080294a301
12300785769a01
1313267c564582
147a08d7b7197
153d1054e541d
hex207c1bd8c61

2232338451553 has 16 divisors (see below), whose sum is σ = 2606381452800. Its totient is φ = 1872106569216.

The previous prime is 2232338451533. The next prime is 2232338451593. The reversal of 2232338451553 is 3551548332322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232338451553 is a prime.

It is a super-3 number, since 3×22323384515533 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232338451533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109576 + ... + 2115817.

It is an arithmetic number, because the mean of its divisors is an integer number (162898840800).

Almost surely, 22232338451553 is an apocalyptic number.

It is an amenable number.

2232338451553 is a deficient number, since it is larger than the sum of its proper divisors (374043001247).

2232338451553 is a wasteful number, since it uses less digits than its factorization.

2232338451553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228496.

The product of its digits is 2592000, while the sum is 46.

The spelling of 2232338451553 in words is "two trillion, two hundred thirty-two billion, three hundred thirty-eight million, four hundred fifty-one thousand, five hundred fifty-three".

Divisors: 1 7 47 329 3049 21343 143303 1003121 2225393 15577751 104593471 732154297 6785223257 47496562799 318905493079 2232338451553