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2000211432 = 2331729712381
BaseRepresentation
bin111011100111000…
…1100110111101000
312011101202021020220
41313032030313220
513044023231212
6530251250040
7100365342132
oct16716146750
95141667226
102000211432
119370814aa
12479a49920
1325b51c67b
1414d912052
15ba90538c
hex7738cde8

2000211432 has 128 divisors (see below), whose sum is σ = 5556729600. Its totient is φ = 597094400.

The previous prime is 2000211431. The next prime is 2000211443. The reversal of 2000211432 is 2341120002.

It is not an unprimeable number, because it can be changed into a prime (2000211431) 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, 838882 + ... + 841262.

It is an arithmetic number, because the mean of its divisors is an integer number (43411950).

Almost surely, 22000211432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778364800).

2000211432 is an abundant number, since it is smaller than the sum of its proper divisors (3556518168).

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

2000211432 is a wasteful number, since it uses less digits than its factorization.

2000211432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2000211432 is about 44723.7233691472. The cubic root of 2000211432 is about 1259.9654462683.

Adding to 2000211432 its reverse (2341120002), we get a palindrome (4341331434).

The spelling of 2000211432 in words is "two billion, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 71 87 102 116 136 142 174 204 213 232 284 348 408 426 493 568 696 852 986 1207 1479 1704 1972 2059 2381 2414 2958 3621 3944 4118 4762 4828 5916 6177 7143 7242 8236 9524 9656 11832 12354 14286 14484 16472 19048 24708 28572 28968 35003 40477 49416 57144 69049 70006 80954 105009 121431 138098 140012 161908 169051 207147 210018 242862 276196 280024 323816 338102 414294 420036 485724 507153 552392 676204 828588 840072 971448 1014306 1173833 1352408 1657176 2028612 2347666 2873867 3521499 4057224 4695332 4902479 5747734 7042998 8621601 9390664 9804958 11495468 14085996 14707437 17243202 19609916 22990936 28171992 29414874 34486404 39219832 58829748 68972808 83342143 117659496 166684286 250026429 333368572 500052858 666737144 1000105716 2000211432