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117224415 = 3557211179
BaseRepresentation
bin1101111110010…
…11001111011111
322011120121200000
412333023033133
5220002140130
615344305343
72622251100
oct677131737
9264517600
10117224415
1160196490
1233312253
131b394779
14117d63a7
15a458260
hex6fcb3df

117224415 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 48444480.

The previous prime is 117224411. The next prime is 117224417. The reversal of 117224415 is 514422711.

It is not a de Polignac number, because 117224415 - 22 = 117224411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

117224415 is a Rhonda number in base 10.

Its product of digits (2240) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117224411) 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, 654796 + ... + 654974.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2117224415 is an apocalyptic number.

117224415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117224415 is an abundant number, since it is smaller than the sum of its proper divisors (151669665).

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

117224415 is a wasteful number, since it uses less digits than its factorization.

117224415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 117224415 is about 10827.0224438670. The cubic root of 117224415 is about 489.4098336943.

The spelling of 117224415 in words is "one hundred seventeen million, two hundred twenty-four thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 179 189 231 243 245 297 315 385 405 441 495 537 539 567 693 735 891 895 945 1155 1215 1253 1323 1485 1611 1617 1701 1969 2079 2205 2673 2685 2695 2835 3465 3759 3969 4455 4833 4851 5907 6237 6265 6615 8055 8085 8505 8771 9845 10395 11277 11907 13365 13783 14499 14553 17721 18711 18795 19845 24165 24255 26313 29535 31185 33831 41349 43497 43659 43855 53163 56385 59535 68915 72495 72765 78939 88605 93555 96481 101493 124047 130977 131565 159489 169155 206745 217485 218295 236817 265815 289443 304479 372141 394695 478467 482405 507465 620235 654885 710451 797445 868329 1116423 1184085 1447215 1522395 1860705 2131353 2392335 2604987 3349269 3552255 4341645 5582115 7814961 10656765 13024935 16746345 23444883 39074805 117224415