Search a number
-
+
22014535500 = 22325316330013
BaseRepresentation
bin10100100000001010…
…110010011101001100
32002211020020021102200
4110200022302131030
5330041210114000
614040251521500
71406353315146
oct244012623514
962736207380
1022014535500
1193776a43a1
124324759290
1320cab71089
1410cba85c96
1588ca50500
hex5202b274c

22014535500 has 144 divisors (see below), whose sum is σ = 69876914016. Its totient is φ = 5834332800.

The previous prime is 22014535493. The next prime is 22014535597. The reversal of 22014535500 is 553541022.

It is a happy number.

22014535500 is a `hidden beast` number, since 2 + 201 + 453 + 5 + 5 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 718494 + ... + 748506.

Almost surely, 222014535500 is an apocalyptic number.

22014535500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34938457008).

22014535500 is an abundant number, since it is smaller than the sum of its proper divisors (47862378516).

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

22014535500 is a wasteful number, since it uses less digits than its factorization.

22014535500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30201 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 22014535500 in words is "twenty-two billion, fourteen million, five hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 163 180 225 250 300 326 375 450 489 500 652 750 815 900 978 1125 1467 1500 1630 1956 2250 2445 2934 3260 4075 4500 4890 5868 7335 8150 9780 12225 14670 16300 20375 24450 29340 30013 36675 40750 48900 60026 61125 73350 81500 90039 120052 122250 146700 150065 180078 183375 244500 270117 300130 360156 366750 450195 540234 600260 733500 750325 900390 1080468 1350585 1500650 1800780 2250975 2701170 3001300 3751625 4501950 4892119 5402340 6752925 7503250 9003900 9784238 11254875 13505850 14676357 15006500 19568476 22509750 24460595 27011700 29352714 33764625 44029071 45019500 48921190 58705428 67529250 73381785 88058142 97842380 122302975 135058500 146763570 176116284 220145355 244605950 293527140 366908925 440290710 489211900 611514875 733817850 880581420 1100726775 1223029750 1467635700 1834544625 2201453550 2446059500 3669089250 4402907100 5503633875 7338178500 11007267750 22014535500