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232253445350034 = 232471573974404551
BaseRepresentation
bin110100110011101110111000…
…000110111010001010010010
31010110100012201221022102212200
4310303232320012322022102
5220420220024002200114
62141543432043104030
766630520613316123
oct6463567006721222
91113305657272780
10232253445350034
1168004151079959
1222070334b12016
139c79537a64c24
14414d1aba8604a
151bcb6a2374409
hexd33bb81ba292

232253445350034 has 96 divisors (see below), whose sum is σ = 518498787396096. Its totient is φ = 75098352700800.

The previous prime is 232253445349931. The next prime is 232253445350039. The reversal of 232253445350034 is 430053544352232.

232253445350034 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 53 + 44 + 53 + 500 + 3 + 4 = 666.

232253445350034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2322534453500342 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232253445350039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50528059 + ... + 54932609.

It is an arithmetic number, because the mean of its divisors is an integer number (5401029035376).

Almost surely, 2232253445350034 is an apocalyptic number.

232253445350034 is an abundant number, since it is smaller than the sum of its proper divisors (286245342046062).

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

232253445350034 is a wasteful number, since it uses less digits than its factorization.

232253445350034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405160 (or 4405157 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

The spelling of 232253445350034 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, four hundred forty-five million, three hundred fifty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 47 94 141 157 282 314 397 423 471 794 846 942 1191 1413 2382 2826 3573 7146 7379 14758 18659 22137 37318 44274 55977 62329 66411 111954 124658 132822 167931 186987 335862 373974 560961 1121922 2929463 4404551 5858926 8788389 8809102 13213653 17576778 26365167 26427306 39640959 52730334 79281918 207013897 414027794 621041691 691514507 1242083382 1383029014 1748606747 1863125073 2074543521 3497213494 3726250146 4149087042 5245820241 6223630563 10491640482 12447261126 15737460723 31474921446 32501181829 65002363658 82184517109 97503545487 164369034218 195007090974 246553551327 274531259279 292510636461 493107102654 549062518558 585021272922 739660653981 823593777837 1479321307962 1647187555674 2470781333511 4941562667022 12902969186113 25805938372226 38708907558339 77417815116678 116126722675017 232253445350034