Search a number
-
+
242202000 = 24353371091
BaseRepresentation
bin11100110111110…
…11010110010000
3121212202010200110
432123323112100
5444000431000
640011121320
76000453165
oct1633732620
9555663613
10242202000
11114797a47
1269143240
133b2421c1
142424a06c
15163e3850
hexe6fb590

242202000 has 160 divisors (see below), whose sum is σ = 802698624. Its totient is φ = 62784000.

The previous prime is 242201989. The next prime is 242202011. The reversal of 242202000 is 202242.

It is a happy number.

242202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242201989) and next prime (242202011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221455 + ... + 222545.

Almost surely, 2242202000 is an apocalyptic number.

242202000 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 242202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401349312).

242202000 is an abundant number, since it is smaller than the sum of its proper divisors (560496624).

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

242202000 is a wasteful number, since it uses less digits than its factorization.

242202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 242202000 is about 15562.8403577239. The cubic root of 242202000 is about 623.3413085491.

Adding to 242202000 its reverse (202242), we get a palindrome (242404242).

The spelling of 242202000 in words is "two hundred forty-two million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1091 1110 1200 1480 1500 1776 1850 2000 2182 2220 2775 2960 3000 3273 3700 4364 4440 4625 5455 5550 6000 6546 7400 8728 8880 9250 10910 11100 13092 13875 14800 16365 17456 18500 21820 22200 26184 27275 27750 32730 37000 40367 43640 44400 52368 54550 55500 65460 74000 80734 81825 87280 109100 111000 121101 130920 136375 161468 163650 201835 218200 222000 242202 261840 272750 322936 327300 403670 409125 436400 484404 545500 605505 645872 654600 807340 818250 968808 1009175 1091000 1211010 1309200 1614680 1636500 1937616 2018350 2182000 2422020 3027525 3229360 3273000 4036700 4844040 5045875 6055050 6546000 8073400 9688080 10091750 12110100 15137625 16146800 20183500 24220200 30275250 40367000 48440400 60550500 80734000 121101000 242202000