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219890097 = 32731923163
BaseRepresentation
bin11010001101101…
…00000110110001
3120022202120111200
431012310012301
5422242440342
633453001413
75310015000
oct1506640661
9508676450
10219890097
11103138759
1261783269
133672c6ab
14212bcc37
151448794c
hexd1b41b1

219890097 has 96 divisors (see below), whose sum is σ = 409344000. Its totient is φ = 113164128.

The previous prime is 219890071. The next prime is 219890113. The reversal of 219890097 is 790098912.

It is not a de Polignac number, because 219890097 - 211 = 219888049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219891097) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1348938 + ... + 1349100.

It is an arithmetic number, because the mean of its divisors is an integer number (4264000).

Almost surely, 2219890097 is an apocalyptic number.

It is an amenable number.

219890097 is a deficient number, since it is larger than the sum of its proper divisors (189453903).

219890097 is a wasteful number, since it uses less digits than its factorization.

219890097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 219890097 is about 14828.6916820062. The cubic root of 219890097 is about 603.5805321463.

The spelling of 219890097 in words is "two hundred nineteen million, eight hundred ninety thousand, ninety-seven".

Divisors: 1 3 7 9 19 21 23 49 57 63 69 133 147 161 163 171 207 343 399 437 441 483 489 931 1029 1127 1141 1197 1311 1449 1467 2793 3059 3087 3097 3381 3423 3749 3933 6517 7889 7987 8379 9177 9291 10143 10269 11247 19551 21413 21679 23667 23961 26243 27531 27873 33741 55909 58653 64239 65037 71001 71231 71883 78729 149891 151753 167727 183701 192717 195111 213693 236187 449673 455259 498617 503181 551103 641079 1062271 1285907 1349019 1365777 1495851 1653309 3186813 3490319 3857721 4487553 9560439 10470957 11573163 24432233 31412871 73296699 219890097