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202233020 = 2251117232351
BaseRepresentation
bin11000000110111…
…01010010111100
3112002112111112212
430003131102330
5403232424040
632022315552
75003644433
oct1403352274
9462474485
10202233020
11a4178730
1257888bb8
1332b89812
141cc0411a
1512b4ad65
hexc0dd4bc

202233020 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 66176000.

The previous prime is 202233019. The next prime is 202233023. The reversal of 202233020 is 20332202.

202233020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202232986 and 202233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202233023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84845 + ... + 87195.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2202233020 is an apocalyptic number.

202233020 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 202233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

202233020 is an abundant number, since it is smaller than the sum of its proper divisors (309863236).

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

202233020 is a wasteful number, since it uses less digits than its factorization.

202233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 202233020 is about 14220.8656557890. The cubic root of 202233020 is about 586.9719607350.

Adding to 202233020 its reverse (20332202), we get a palindrome (222565222).

The spelling of 202233020 in words is "two hundred two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2351 2530 3740 3910 4301 4702 5060 7820 8602 9404 11755 17204 21505 23510 25861 39967 43010 47020 51722 54073 79934 86020 103444 108146 129305 159868 199835 216292 258610 270365 399670 439637 517220 540730 594803 799340 879274 919241 1081460 1189606 1758548 1838482 2198185 2379212 2974015 3676964 4396370 4596205 5948030 8792740 9192410 10111651 11896060 18384820 20223302 40446604 50558255 101116510 202233020