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255361040022 = 231119223465989
BaseRepresentation
bin1110110111010010110…
…1000011111010010110
3220102010112211220111010
43231310231003322112
513140434411240042
6313151121153050
724310041012024
oct3556455037226
9812115756433
10255361040022
1199330716a40
12415a7a8b786
131b10796aa1a
14c506815714
1569987da59c
hex3b74b43e96

255361040022 has 96 divisors (see below), whose sum is σ = 613585808640. Its totient is φ = 70121874240.

The previous prime is 255361040017. The next prime is 255361040027. The reversal of 255361040022 is 220040163552.

It is an interprime number because it is at equal distance from previous prime (255361040017) and next prime (255361040027).

It is a super-2 number, since 2×2553610400222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255361040027) 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, 315004 + ... + 780992.

It is an arithmetic number, because the mean of its divisors is an integer number (6391518840).

Almost surely, 2255361040022 is an apocalyptic number.

255361040022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 255361040022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306792904320).

255361040022 is an abundant number, since it is smaller than the sum of its proper divisors (358224768618).

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

255361040022 is a wasteful number, since it uses less digits than its factorization.

255361040022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466066 (or 466047 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 255361040022 in words is "two hundred fifty-five billion, three hundred sixty-one million, forty thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 361 418 437 506 627 722 759 874 1083 1254 1311 1518 2166 2622 3971 4807 7942 8303 9614 11913 14421 16606 23826 24909 28842 49818 91333 182666 273999 465989 547998 931978 1397967 2795934 5125879 8853791 10251758 10717747 15377637 17707582 21435494 26561373 30755274 32153241 53122746 64306482 97391701 117895217 168222029 194783402 203637193 235790434 292175103 336444058 353685651 407274386 504666087 584350206 610911579 707371302 1009332174 1221823158 1850442319 2240009123 3700884638 3869106667 4480018246 5551326957 6720027369 7738213334 11102653914 11607320001 13440054738 23214640002 42560173337 85120346674 127680520011 255361040022