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215920029424 = 241129127333103
BaseRepresentation
bin1100100100010111010…
…1100010111011110000
3202122022211121222021211
43021011311202323300
512014201011420144
6243105311325504
721412461652651
oct3110565427360
9678284558254
10215920029424
1183631255a10
1235a1b220894
1317490655528
14a644597528
15593ae20034
hex3245d62ef0

215920029424 has 80 divisors (see below), whose sum is σ = 475832401920. Its totient is φ = 94014708480.

The previous prime is 215920029331. The next prime is 215920029443. The reversal of 215920029424 is 424920029512.

It is a happy number.

215920029424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2159200294242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481657 + ... + 814759.

It is an arithmetic number, because the mean of its divisors is an integer number (5947905024).

Almost surely, 2215920029424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215920029424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237916200960).

215920029424 is an abundant number, since it is smaller than the sum of its proper divisors (259912372496).

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

215920029424 is a wasteful number, since it uses less digits than its factorization.

215920029424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333278 (or 333272 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 215920029424 in words is "two hundred fifteen billion, nine hundred twenty million, twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 127 176 232 254 319 464 508 638 1016 1276 1397 2032 2552 2794 3683 5104 5588 7366 11176 14732 22352 29464 40513 58928 81026 162052 324104 333103 648208 666206 1332412 2664824 3664133 5329648 7328266 9659987 14656532 19319974 29313064 38639948 42304081 58626128 77279896 84608162 106259857 154559792 169216324 212519714 338432648 425039428 465344891 676865296 850078856 930689782 1226818349 1700157712 1861379564 2453636698 3722759128 4907273396 7445518256 9814546792 13495001839 19629093584 26990003678 53980007356 107960014712 215920029424