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214221124431198 = 23350517211108917
BaseRepresentation
bin110000101101010100111110…
…000001100110110101011110
31001002111100011111011222201000
4300231110332001212311132
5211034244330323244243
62035335454224331130
763056652110435223
oct6055247601466536
91032440144158630
10214221124431198
116229173a00aa35
12200395a5173aa6
13926bc71b62911
143ac850191794a
1519b75b2c3c5d3
hexc2d53e066d5e

214221124431198 has 64 divisors (see below), whose sum is σ = 476211593283840. Its totient is φ = 71382348324000.

The previous prime is 214221124431173. The next prime is 214221124431241. The reversal of 214221124431198 is 891134421122412.

214221124431198 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 2 + 1 + 1 + 24 + 431 + 198 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966774636 + ... + 1966883552.

It is an arithmetic number, because the mean of its divisors is an integer number (7440806145060).

Almost surely, 2214221124431198 is an apocalyptic number.

214221124431198 is an abundant number, since it is smaller than the sum of its proper divisors (261990468852642).

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

214221124431198 is a wasteful number, since it uses less digits than its factorization.

214221124431198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121190 (or 121184 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 214221124431198 in words is "two hundred fourteen trillion, two hundred twenty-one billion, one hundred twenty-four million, four hundred thirty-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 5051 7211 10102 14422 15153 21633 30306 43266 45459 64899 90918 108917 129798 136377 194697 217834 272754 326751 389394 653502 980253 1960506 2940759 5881518 36422761 72845522 109268283 218536566 327804849 550139767 655609698 785400487 983414547 1100279534 1570800974 1650419301 1966829094 2356201461 3300838602 4712402922 4951257903 7068604383 9902515806 14137208766 14853773709 21205813149 29707547418 42411626298 3967057859837 7934115719674 11901173579511 23802347159022 35703520738533 71407041477066 107110562215599 214221124431198