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1230202016 = 253110191217
BaseRepresentation
bin100100101010011…
…0110010010100000
310011201211201220122
41021110312102200
510004412431031
6322023255412
742325354541
oct11124662240
93151751818
101230202016
11581464a8a
122a3baa568
13167b3a3b4
14b95524c8
157300447b
hex495364a0

1230202016 has 48 divisors (see below), whose sum is σ = 2504597760. Its totient is φ = 594186240.

The previous prime is 1230202009. The next prime is 1230202031. The reversal of 1230202016 is 6102020321.

It is a junction number, because it is equal to n+sod(n) for n = 1230201985 and 1230202003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010240 + ... + 1011456.

It is an arithmetic number, because the mean of its divisors is an integer number (52179120).

Almost surely, 21230202016 is an apocalyptic number.

1230202016 is a gapful number since it is divisible by the number (16) 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 1230202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252298880).

1230202016 is an abundant number, since it is smaller than the sum of its proper divisors (1274395744).

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

1230202016 is a wasteful number, since it uses less digits than its factorization.

1230202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1230202016 is about 35074.2357864003. The cubic root of 1230202016 is about 1071.4999245501.

Adding to 1230202016 its reverse (6102020321), we get a palindrome (7332222337).

The spelling of 1230202016 in words is "one billion, two hundred thirty million, two hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1019 1217 2038 2434 4076 4868 8152 9736 16304 19472 31589 32608 37727 38944 63178 75454 126356 150908 252712 301816 505424 603632 1010848 1207264 1240123 2480246 4960492 9920984 19841968 38443813 39683936 76887626 153775252 307550504 615101008 1230202016