Search a number
-
+
223291270160 = 2457442190191
BaseRepresentation
bin1100111111110100110…
…0100110010000010000
3210100100112220210121222
43033331030212100100
512124300031121120
6250324550504212
722063236323510
oct3177514462020
9710315823558
10223291270160
1186774112202
1237337965068
131809684073a
14ab4354d840
155c1d11b525
hex33fd326410

223291270160 has 80 divisors (see below), whose sum is σ = 593457587712. Its totient is φ = 76538841600.

The previous prime is 223291270123. The next prime is 223291270219. The reversal of 223291270160 is 61072192322.

It is a happy number.

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

It is a super-3 number, since 3×2232912701603 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 223291270160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430665 + ... + 2520855.

Almost surely, 2223291270160 is an apocalyptic number.

223291270160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223291270160 is an abundant number, since it is smaller than the sum of its proper divisors (370166317552).

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

223291270160 is a wasteful number, since it uses less digits than its factorization.

223291270160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94632 (or 94626 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 223291270160 in words is "two hundred twenty-three billion, two hundred ninety-one million, two hundred seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4421 8842 17684 22105 30947 35368 44210 61894 70736 88420 90191 123788 154735 176840 180382 247576 309470 353680 360764 450955 495152 618940 631337 721528 901910 1237880 1262674 1443056 1803820 2475760 2525348 3156685 3607640 5050696 6313370 7215280 10101392 12626740 25253480 50506960 398734411 797468822 1594937644 1993672055 2791140877 3189875288 3987344110 5582281754 6379750576 7974688220 11164563508 13955704385 15949376440 22329127016 27911408770 31898752880 44658254032 55822817540 111645635080 223291270160