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2290882036356 = 223893432
BaseRepresentation
bin100001010101100011001…
…101011100001010000100
322010000011111201100000000
4201111203031130022010
5300013211300130411
64512230000321300
7324340123006134
oct41254315341204
98100144640000
102290882036356
11803615206041
1230bba3913230
1313804c34c904
147cc44a70ac4
153e8cee5c956
hex2156335c284

2290882036356 has 81 divisors (see below), whose sum is σ = 6013903504791. Its totient is φ = 763545612888.

The previous prime is 2290882036343. The next prime is 2290882036397. The reversal of 2290882036356 is 6536302880922.

The square root of 2290882036356 is 1513566.

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

2290882036356 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 88 + 203 + 6 + 356 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×22908820363562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 26 ways as a sum of consecutive naturals, for example, 245193021 + ... + 245202363.

Almost surely, 22290882036356 is an apocalyptic number.

2290882036356 is the 1513566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290882036356

2290882036356 is an abundant number, since it is smaller than the sum of its proper divisors (3723021468435).

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

2290882036356 is an frugal number, since it uses more digits than its factorization.

2290882036356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18714 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2290882036356 in words is "two trillion, two hundred ninety billion, eight hundred eighty-two million, thirty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 9343 13122 18686 26244 28029 37372 56058 84087 112116 168174 252261 336348 504522 756783 1009044 1513566 2270349 3027132 4540698 6811047 9081396 13622094 20433141 27244188 40866282 61299423 81732564 87291649 122598846 174583298 245197692 261874947 349166596 523749894 785624841 1047499788 1571249682 2356874523 3142499364 4713749046 7070623569 9427498092 14141247138 21211870707 28282494276 42423741414 63635612121 84847482828 127271224242 190906836363 254542448484 381813672726 572720509089 763627345452 1145441018178 2290882036356