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20092215 = 351113171929
BaseRepresentation
bin100110010100…
…1010100110111
31101210210100010
41030221110313
520120422330
61554351303
7332531613
oct114512467
941723303
1020092215
1110383640
12688b533
1342163b0
142950343
151b6d3b0
hex1329537

20092215 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 7741440.

The previous prime is 20092201. The next prime is 20092339. The reversal of 20092215 is 51229002.

20092215 = T1 + T2 + ... + T493.

20092215 is a nontrivial binomial coefficient, being equal to C(495, 3).

It is not a de Polignac number, because 20092215 - 25 = 20092183 is a prime.

It is a super-3 number, since 3×200922153 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20092191 and 20092200.

It is a congruent number.

It is an unprimeable number.

It is the 493-rd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692821 + ... + 692849.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 220092215 is an apocalyptic number.

20092215 is an abundant number, since it is smaller than the sum of its proper divisors (23453385).

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

20092215 is a wasteful number, since it uses less digits than its factorization.

20092215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20092215 is about 4482.4340485946. The cubic root of 20092215 is about 271.8583054883.

It can be divided in two parts, 2009 and 2215, that added together give a palindrome (4224).

The spelling of 20092215 in words is "twenty million, ninety-two thousand, two hundred fifteen".

Divisors: 1 3 5 11 13 15 17 19 29 33 39 51 55 57 65 85 87 95 143 145 165 187 195 209 221 247 255 285 319 323 377 429 435 493 551 561 627 663 715 741 935 957 969 1045 1105 1131 1235 1479 1595 1615 1653 1885 2145 2431 2465 2717 2755 2805 3135 3315 3553 3705 4147 4199 4785 4845 5423 5655 6061 6409 7163 7293 7395 8151 8265 9367 10659 12155 12441 12597 13585 16269 17765 18183 19227 20735 20995 21489 27115 28101 30305 32045 35815 36465 40755 46189 46835 53295 62205 62985 70499 78793 81345 90915 96135 103037 107445 121771 138567 140505 211497 230945 236379 309111 352495 365313 393965 515185 608855 692835 1057485 1181895 1339481 1545555 1826565 4018443 6697405 20092215