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214411124550 = 23527296368917
BaseRepresentation
bin1100011110101111100…
…1100001111101000110
3202111102200100122221010
43013223321201331012
512003103221441200
6242255450303050
721330210326250
oct3075371417506
9674380318833
10214411124550
1182a27543397
1235679a27a86
13172acb65ccc
14a540016cd0
15589d717150
hex31ebe61f46

214411124550 has 96 divisors (see below), whose sum is σ = 607916305152. Its totient is φ = 48991006080.

The previous prime is 214411124549. The next prime is 214411124569. The reversal of 214411124550 is 55421114412.

214411124550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2144111245502 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3076692 + ... + 3145608.

It is an arithmetic number, because the mean of its divisors is an integer number (6332461512).

Almost surely, 2214411124550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214411124550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303958152576).

214411124550 is an abundant number, since it is smaller than the sum of its proper divisors (393505180602).

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

214411124550 is a wasteful number, since it uses less digits than its factorization.

214411124550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71902 (or 71897 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 214411124550 its reverse (55421114412), we get a palindrome (269832238962).

The spelling of 214411124550 in words is "two hundred fourteen billion, four hundred eleven million, one hundred twenty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2963 5926 8889 14815 17778 20741 29630 41482 44445 62223 68917 74075 88890 103705 124446 137834 148150 206751 207410 222225 311115 344585 413502 444450 482419 518525 622230 689170 964838 1033755 1037050 1447257 1555575 1722925 2067510 2412095 2894514 3111150 3445850 4824190 5168775 7236285 10337550 12060475 14472570 24120950 36181425 72362850 204201071 408402142 612603213 1021005355 1225206426 1429407497 2042010710 2858814994 3063016065 4288222491 5105026775 6126032130 7147037485 8576444982 10210053550 14294074970 15315080325 21441112455 30630160650 35735187425 42882224910 71470374850 107205562275 214411124550