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1230337152 = 273211791229
BaseRepresentation
bin100100101010101…
…0111010010000000
310011202002121021200
41021111113102000
510004431242102
6322030221200
742326456532
oct11125272200
93152077250
101230337152
11581547570
122a4054800
13167b86a65
14b9589852
157302e51c
hex49557480

1230337152 has 192 divisors, whose sum is σ = 3914352000. Its totient is φ = 367810560.

The previous prime is 1230337139. The next prime is 1230337159. The reversal of 1230337152 is 2517330321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12303371522 = 3027459015182942208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1230337159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000474 + ... + 1001702.

It is an arithmetic number, because the mean of its divisors is an integer number (20387250).

Almost surely, 21230337152 is an apocalyptic number.

1230337152 is a gapful number since it is divisible by the number (12) 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 1230337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957176000).

1230337152 is an abundant number, since it is smaller than the sum of its proper divisors (2684014848).

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

1230337152 is a wasteful number, since it uses less digits than its factorization.

1230337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1230337152 is about 35076.1621617873. The cubic root of 1230337152 is about 1071.5391573780.

Adding to 1230337152 its reverse (2517330321), we get a palindrome (3747667473).

It can be divided in two parts, 12303 and 37152, that added together give a triangular number (49455 = T314).

The spelling of 1230337152 in words is "one billion, two hundred thirty million, three hundred thirty-seven thousand, one hundred fifty-two".