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10223233020 = 223357111318913
BaseRepresentation
bin10011000010101101…
…00010011111111100
3222101110211001021000
421201112202133330
5131414121424040
64410235210300
7511225022040
oct114126423774
928343731230
1010223233020
114376826310
121b938a6990
13c6c01a610
146cda72020
153ec7a6130
hex2615a27fc

10223233020 has 384 divisors, whose sum is σ = 42706298880. Its totient is φ = 1960796160.

The previous prime is 10223233019. The next prime is 10223233049. The reversal of 10223233020 is 2033232201.

It is a happy number.

10223233020 is a `hidden beast` number, since 102 + 232 + 330 + 2 + 0 = 666.

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 = 10223232984 and 10223233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531084 + ... + 549996.

It is an arithmetic number, because the mean of its divisors is an integer number (111214320).

Almost surely, 210223233020 is an apocalyptic number.

10223233020 is a gapful number since it is divisible by the number (10) 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 10223233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353149440).

10223233020 is an abundant number, since it is smaller than the sum of its proper divisors (32483065860).

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

10223233020 is a wasteful number, since it uses less digits than its factorization.

10223233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18962 (or 18954 counting only the distinct ones).

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

Adding to 10223233020 its reverse (2033232201), we get a palindrome (12256465221).

The spelling of 10223233020 in words is "ten billion, two hundred twenty-three million, two hundred thirty-three thousand, twenty".