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212140002004 = 227223179262897
BaseRepresentation
bin1100010110010010000…
…1111000101011010100
3202021120101211200111021
43011210201320223110
511433430320031004
6241242240250524
721220012156600
oct3054441705324
9667511750437
10212140002004
1181a71556407
1235145310a44
131700a491c08
14a3a6544500
1557b914bd54
hex3164878ad4

212140002004 has 72 divisors (see below), whose sum is σ = 453152024640. Its totient is φ = 86478061824.

The previous prime is 212140001993. The next prime is 212140002043. The reversal of 212140002004 is 400200041212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675484 + ... + 938380.

It is an arithmetic number, because the mean of its divisors is an integer number (6293778120).

Almost surely, 2212140002004 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 212140002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226576012320).

212140002004 is an abundant number, since it is smaller than the sum of its proper divisors (241012022636).

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

212140002004 is a wasteful number, since it uses less digits than its factorization.

212140002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263117 (or 263108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212140002004 its reverse (400200041212), we get a palindrome (612340043216).

The spelling of 212140002004 in words is "two hundred twelve billion, one hundred forty million, two thousand, four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 179 196 322 358 644 716 1127 1253 2254 2506 4117 4508 5012 8234 8771 16468 17542 28819 35084 57638 115276 201733 262897 403466 525794 806932 1051588 1840279 3680558 6046631 7361116 12093262 12881953 24186524 25763906 42326417 47058563 51527812 84652834 94117126 169305668 188234252 296284919 329409941 592569838 658819882 1082346949 1185139676 1317639764 2164693898 2305869587 4329387796 4611739174 7576428643 9223478348 15152857286 30305714572 53035000501 106070001002 212140002004