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1230002292 = 2231761971019
BaseRepresentation
bin100100101010000…
…0101100001110100
310011201110120221110
41021110011201310
510004340033132
6322015115020
742323563341
oct11124054164
93151416843
101230002292
11581338a22
122a3b12a70
13167a9a50c
14b94dd7c8
1572eb51cc
hex49505874

1230002292 has 96 divisors (see below), whose sum is σ = 3123550080. Its totient is φ = 375275520.

The previous prime is 1230002287. The next prime is 1230002299. The reversal of 1230002292 is 2922000321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230002299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206559 + ... + 1207577.

It is an arithmetic number, because the mean of its divisors is an integer number (32536980).

Almost surely, 21230002292 is an apocalyptic number.

1230002292 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 1230002292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561775040).

1230002292 is an abundant number, since it is smaller than the sum of its proper divisors (1893547788).

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

1230002292 is a wasteful number, since it uses less digits than its factorization.

1230002292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1230002292 is about 35071.3885097240. The cubic root of 1230002292 is about 1071.4419352035.

The spelling of 1230002292 in words is "one billion, two hundred thirty million, two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 97 102 122 183 194 204 244 291 366 388 582 732 1019 1037 1164 1649 2038 2074 3057 3111 3298 4076 4148 4947 5917 6114 6222 6596 9894 11834 12228 12444 17323 17751 19788 23668 34646 35502 51969 62159 69292 71004 98843 100589 103938 124318 186477 197686 201178 207876 248636 296529 301767 372954 395372 402356 593058 603534 745908 1056703 1186116 1207068 1680331 2113406 3170109 3360662 4226812 5040993 6029423 6340218 6721324 10081986 12058846 12680436 18088269 20163972 24117692 36176538 72353076 102500191 205000382 307500573 410000764 615001146 1230002292