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214223254644 = 223728310741023
BaseRepresentation
bin1100011110000010110…
…0110111010001110100
3202110221120211212212110
43013200230313101310
512002212123122034
6242225055451020
721322436422500
oct3074054672164
9673846755773
10214223254644
1182940495a03
1235626b26a70
131727cc67c99
14a5230b1300
15588bea6de9
hex31e0b37474

214223254644 has 144 divisors (see below), whose sum is σ = 593982885888. Its totient is φ = 59902621632.

The previous prime is 214223254631. The next prime is 214223254667. The reversal of 214223254644 is 446452322412.

214223254644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5201517 + ... + 5242539.

It is an arithmetic number, because the mean of its divisors is an integer number (4124881152).

Almost surely, 2214223254644 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 214223254644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296991442944).

214223254644 is an abundant number, since it is smaller than the sum of its proper divisors (379759631244).

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

214223254644 is a wasteful number, since it uses less digits than its factorization.

214223254644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41234 (or 41225 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

The spelling of 214223254644 in words is "two hundred fourteen billion, two hundred twenty-three million, two hundred fifty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 107 147 166 196 214 249 294 321 332 428 498 581 588 642 749 996 1162 1284 1498 1743 2247 2324 2996 3486 4067 4494 5243 6972 8134 8881 8988 10486 12201 15729 16268 17762 20972 24402 26643 31458 35524 41023 48804 53286 62167 62916 82046 106572 123069 124334 164092 186501 246138 248668 287161 373002 435169 492276 574322 746004 861483 870338 1148644 1305507 1722966 1740676 2010127 2611014 3404909 3445932 4020254 4389461 5222028 6030381 6809818 8040508 8778922 10214727 12060762 13168383 13619636 17557844 20429454 23834363 24121524 26336766 30726227 40858908 47668726 52673532 61452454 71503089 92178681 95337452 122904908 143006178 166840541 184357362 215083589 286012356 333681082 364325263 368714724 430167178 500521623 645250767 667362164 728650526 860334356 1001043246 1092975789 1290501534 1457301052 2002086492 2185951578 2550276841 2581003068 4371903156 5100553682 7650830523 10201107364 15301661046 17851937887 30603322092 35703875774 53555813661 71407751548 107111627322 214223254644