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214223312440 = 235174131724239
BaseRepresentation
bin1100011110000010110…
…1000101011000111000
3202110221120221211011001
43013200231011120320
512002212131444230
6242225101014344
721322440053134
oct3074055053070
9673846854131
10214223312440
1182940525375
1235626b543b4
131727cc88397
14a5230c83c4
15588beb90ca
hex31e0b45638

214223312440 has 128 divisors (see below), whose sum is σ = 524474092800. Its totient is φ = 78430289920.

The previous prime is 214223312419. The next prime is 214223312483. The reversal of 214223312440 is 44213322412.

It is a junction number, because it is equal to n+sod(n) for n = 214223312399 and 214223312408.

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 31 ways as a sum of consecutive naturals, for example, 8825841 + ... + 8850079.

It is an arithmetic number, because the mean of its divisors is an integer number (4097453850).

Almost surely, 2214223312440 is an apocalyptic number.

214223312440 is a gapful number since it is divisible by the number (20) 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 214223312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262237046400).

214223312440 is an abundant number, since it is smaller than the sum of its proper divisors (310250780360).

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

214223312440 is a wasteful number, since it uses less digits than its factorization.

214223312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625 (or 24621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 214223312440 its reverse (44213322412), we get a palindrome (258436634852).

The spelling of 214223312440 in words is "two hundred fourteen billion, two hundred twenty-three million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 317 328 340 410 634 680 697 820 1268 1394 1585 1640 2536 2788 3170 3485 5389 5576 6340 6970 10778 12680 12997 13940 21556 24239 25994 26945 27880 43112 48478 51988 53890 64985 96956 103976 107780 121195 129970 193912 215560 220949 242390 259940 412063 441898 484780 519880 824126 883796 969560 993799 1104745 1648252 1767592 1987598 2060315 2209490 3296504 3975196 4120630 4418980 4968995 7683763 7950392 8241260 8837960 9937990 15367526 16482520 16894583 19875980 30735052 33789166 38418815 39751960 61470104 67578332 76837630 84472915 130623971 135156664 153675260 168945830 261247942 307350520 315034283 337891660 522495884 630068566 653119855 675783320 1044991768 1260137132 1306239710 1575171415 2520274264 2612479420 3150342830 5224958840 5355582811 6300685660 10711165622 12601371320 21422331244 26777914055 42844662488 53555828110 107111656220 214223312440