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1358225118 = 233235212099
BaseRepresentation
bin101000011110100…
…1101111011011110
310111122201222121000
41100331031323132
510240201200433
6342435251130
745441502665
oct12075157336
93448658530
101358225118
116377566a8
1231aa49aa6
13188513103
14cc559ddc
157e392113
hex50f4dede

1358225118 has 64 divisors (see below), whose sum is σ = 3157056000. Its totient is φ = 432020160.

The previous prime is 1358225093. The next prime is 1358225131. The reversal of 1358225118 is 8115228531.

1358225118 is a `hidden beast` number, since 13 + 582 + 2 + 51 + 18 = 666.

It is a super-2 number, since 2×13582251182 = 3689550942332227848, which 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 31 ways as a sum of consecutive naturals, for example, 646033 + ... + 648131.

It is an arithmetic number, because the mean of its divisors is an integer number (49329000).

Almost surely, 21358225118 is an apocalyptic number.

1358225118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358225118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578528000).

1358225118 is an abundant number, since it is smaller than the sum of its proper divisors (1798830882).

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

1358225118 is a wasteful number, since it uses less digits than its factorization.

1358225118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2648 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1358225118 is about 36854.1058499592. The cubic root of 1358225118 is about 1107.4494689954.

The spelling of 1358225118 in words is "one billion, three hundred fifty-eight million, two hundred twenty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 521 621 1042 1242 1563 2099 3126 4198 4689 6297 9378 11983 12594 14067 18891 23966 28134 35949 37782 48277 56673 71898 96554 107847 113346 144831 215694 289662 323541 434493 647082 868986 1093579 1303479 2187158 2606958 3280737 6561474 9842211 19684422 25152317 29526633 50304634 59053266 75456951 150913902 226370853 452741706 679112559 1358225118