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234220553040 = 24355527176573
BaseRepresentation
bin1101101000100010100…
…0100000001101010000
3211101120020021220012210
43122020220200031100
512314140430144130
6255333251152120
722631126565135
oct3321050401520
9741506256183
10234220553040
119037243a1a1
1239487ba5640
1319118c08026
14b49cc9258c
15615c88c5b0
hex3688a20350

234220553040 has 80 divisors (see below), whose sum is σ = 726219197568. Its totient is φ = 62447159808.

The previous prime is 234220553011. The next prime is 234220553053. The reversal of 234220553040 is 40355022432.

234220553040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234220552989 and 234220553007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238194 + ... + 1414766.

Almost surely, 2234220553040 is an apocalyptic number.

234220553040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234220553040 is an abundant number, since it is smaller than the sum of its proper divisors (491998644528).

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

234220553040 is a wasteful number, since it uses less digits than its factorization.

234220553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182116 (or 182110 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 234220553040 its reverse (40355022432), we get a palindrome (274575575472).

The spelling of 234220553040 in words is "two hundred thirty-four billion, two hundred twenty million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5527 11054 16581 22108 27635 33162 44216 55270 66324 82905 88432 110540 132648 165810 176573 221080 265296 331620 353146 442160 529719 663240 706292 882865 1059438 1326480 1412584 1765730 2118876 2648595 2825168 3531460 4237752 5297190 7062920 8475504 10594380 14125840 21188760 42377520 975918971 1951837942 2927756913 3903675884 4879594855 5855513826 7807351768 9759189710 11711027652 14638784565 15614703536 19518379420 23422055304 29277569130 39036758840 46844110608 58555138260 78073517680 117110276520 234220553040