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215880093 = 331121321723
BaseRepresentation
bin11001101111000…
…01000110011101
3120001012211211000
430313201012131
5420231130333
633231020513
75230644012
oct1467410635
9501184730
10215880093
11100949a00
126036a739
1335957400
1420957709
1513e44713
hexcde119d

215880093 has 144 divisors (see below), whose sum is σ = 420577920. Its totient is φ = 108725760.

The previous prime is 215880083. The next prime is 215880103. The reversal of 215880093 is 390088512.

It is an interprime number because it is at equal distance from previous prime (215880083) and next prime (215880103).

It is not a de Polignac number, because 215880093 - 26 = 215880029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215880013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9386080 + ... + 9386102.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2215880093 is an apocalyptic number.

215880093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

215880093 is a deficient number, since it is larger than the sum of its proper divisors (204697827).

215880093 is a wasteful number, since it uses less digits than its factorization.

215880093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 215880093 is about 14692.8585714285. The cubic root of 215880093 is about 599.8889544494. Note that the first 3 decimals are identical.

The spelling of 215880093 in words is "two hundred fifteen million, eight hundred eighty thousand, ninety-three".

Divisors: 1 3 9 11 13 17 23 27 33 39 51 69 99 117 121 143 153 169 187 207 221 253 297 299 351 363 391 429 459 507 561 621 663 759 897 1089 1173 1287 1521 1573 1683 1859 1989 2057 2277 2431 2691 2783 2873 3267 3289 3519 3861 3887 4301 4563 4719 5049 5083 5577 5967 6171 6831 7293 8073 8349 8619 9867 10557 11661 12903 14157 15249 16731 18513 20449 21879 25047 25857 26741 29601 31603 34983 36179 38709 42471 42757 45747 47311 50193 55539 55913 61347 65637 66079 75141 77571 80223 88803 94809 104949 108537 116127 128271 137241 141933 167739 184041 198237 240669 284427 325611 347633 384813 425799 470327 503217 552123 594711 615043 722007 726869 853281 976833 1042899 1154439 1277397 1410981 1509651 1784133 1845129 2180607 3128697 4232943 5535387 6541821 7995559 9386091 12698829 16606161 19625463 23986677 71960031 215880093