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203232420 = 2232510331093
BaseRepresentation
bin11000001110100…
…01010010100100
3112011102021110200
430013101102210
5404011414140
632055550500
75015306226
oct1407212244
9464367420
10203232420
11a47a0586
125808b430
1333149691
141cdc4416
1512c97030
hexc1d14a4

203232420 has 72 divisors (see below), whose sum is σ = 617633016. Its totient is φ = 54093312.

The previous prime is 203232409. The next prime is 203232431. The reversal of 203232420 is 24232302.

It is an interprime number because it is at equal distance from previous prime (203232409) and next prime (203232431).

It can be written as a sum of positive squares in 4 ways, for example, as 135070884 + 68161536 = 11622^2 + 8256^2 .

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 = 203232393 and 203232402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185394 + ... + 186486.

Almost surely, 2203232420 is an apocalyptic number.

203232420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203232420 is an abundant number, since it is smaller than the sum of its proper divisors (414400596).

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

203232420 is a wasteful number, since it uses less digits than its factorization.

203232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2136 counting only the distinct ones).

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

The square root of 203232420 is about 14255.9608585321. The cubic root of 203232420 is about 587.9372763858.

Adding to 203232420 its reverse (24232302), we get a palindrome (227464722).

The spelling of 203232420 in words is "two hundred three million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1033 1093 2066 2186 3099 3279 4132 4372 5165 5465 6198 6558 9297 9837 10330 10930 12396 13116 15495 16395 18594 19674 20660 21860 30990 32790 37188 39348 46485 49185 61980 65580 92970 98370 185940 196740 1129069 2258138 3387207 4516276 5645345 6774414 10161621 11290690 13548828 16936035 20323242 22581380 33872070 40646484 50808105 67744140 101616210 203232420