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233240220 = 223251817159
BaseRepresentation
bin11011110011011…
…11011010011100
3121020212211102200
431321233122130
5434202141340
635051051500
75531336433
oct1571573234
9536784380
10233240220
1110a726914
1266140b90
1339425085
1422d9611a
1515723330
hexde6f69c

233240220 has 72 divisors (see below), whose sum is σ = 711503520. Its totient is φ = 61845120.

The previous prime is 233240207. The next prime is 233240233. The reversal of 233240220 is 22042332.

It is an interprime number because it is at equal distance from previous prime (233240207) and next prime (233240233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233240193 and 233240202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29001 + ... + 36159.

Almost surely, 2233240220 is an apocalyptic number.

233240220 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 233240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355751760).

233240220 is an abundant number, since it is smaller than the sum of its proper divisors (478263300).

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

233240220 is a wasteful number, since it uses less digits than its factorization.

233240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233240220 is about 15272.2041631193. The cubic root of 233240220 is about 615.5563476400.

Adding to 233240220 its reverse (22042332), we get a palindrome (255282552).

The spelling of 233240220 in words is "two hundred thirty-three million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 7159 8145 10860 14318 16290 21477 28636 32580 35795 42954 64431 71590 85908 107385 128862 143180 214770 257724 322155 429540 644310 1288620 1295779 2591558 3887337 5183116 6478895 7774674 11662011 12957790 15549348 19436685 23324022 25915580 38873370 46648044 58310055 77746740 116620110 233240220