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742468221 = 331122341241
BaseRepresentation
bin101100010000010…
…010101001111101
31220202002021221000
4230100102221331
53010032440341
6201401400513
724253606245
oct5420225175
91822067830
10742468221
11351116400
12188799139
13baa8b511
1470870b25
15452b08b6
hex2c412a7d

742468221 has 96 divisors (see below), whose sum is σ = 1297739520. Its totient is φ = 418176000.

The previous prime is 742468211. The next prime is 742468231. The reversal of 742468221 is 122864247.

742468221 is a `hidden beast` number, since 7 + 424 + 6 + 8 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (742468211) and next prime (742468231).

It is not a de Polignac number, because 742468221 - 26 = 742468157 is a prime.

Its product of digits (43008) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742468211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3080661 + ... + 3080901.

It is an arithmetic number, because the mean of its divisors is an integer number (13518120).

Almost surely, 2742468221 is an apocalyptic number.

It is an amenable number.

742468221 is a deficient number, since it is larger than the sum of its proper divisors (555271299).

742468221 is a wasteful number, since it uses less digits than its factorization.

742468221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 742468221 is about 27248.2700551796. The cubic root of 742468221 is about 905.5086915604.

The spelling of 742468221 in words is "seven hundred forty-two million, four hundred sixty-eight thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 27 33 41 69 99 121 123 207 241 253 297 363 369 451 621 723 759 943 1089 1107 1353 2169 2277 2651 2783 2829 3267 4059 4961 5543 6507 6831 7953 8349 8487 9881 10373 12177 14883 16629 23859 25047 25461 29161 29643 31119 44649 49887 60973 71577 75141 87483 88929 93357 108691 114103 133947 149661 182919 227263 262449 266787 280071 326073 342309 548757 670703 681789 787347 978219 1026927 1195601 1646271 2012109 2045367 2499893 2934657 3080781 3586803 6036327 6136101 7499679 10760409 18108981 22499037 27498823 32281227 67497111 82496469 247489407 742468221