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232203310020 = 2232511225214229
BaseRepresentation
bin1101100001000001100…
…1010101001111000100
3211012100122111100000100
43120100121111033010
512301023021410040
6254401150444100
722530133366143
oct3302031251704
9735318440010
10232203310020
118a527795700
1239004503630
1318b870043c6
14b34adc975a
156090720b30
hex36106553c4

232203310020 has 216 divisors, whose sum is σ = 774693181080. Its totient is φ = 56256076800.

The previous prime is 232203309997. The next prime is 232203310043. The reversal of 232203310020 is 20013302232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232203309997) and next prime (232203310043).

It can be written as a sum of positive squares in 4 ways, for example, as 20949088644 + 211254221376 = 144738^2 + 459624^2 .

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 = 232203309975 and 232203310002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54905266 + ... + 54909494.

It is an arithmetic number, because the mean of its divisors is an integer number (3586542505).

Almost surely, 2232203310020 is an apocalyptic number.

232203310020 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 232203310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387346590540).

232203310020 is an abundant number, since it is smaller than the sum of its proper divisors (542489871060).

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

232203310020 is a wasteful number, since it uses less digits than its factorization.

232203310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232203310020 its reverse (20013302232), we get a palindrome (252216612252).

The spelling of 232203310020 in words is "two hundred thirty-two billion, two hundred three million, three hundred ten thousand, twenty".