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216924156 = 2237137181
BaseRepresentation
bin11001110110111…
…11111111111100
3120010011220000000
430323133333330
5421013033111
633305234300
75242552641
oct1473377774
9503156000
10216924156
111014a2369
1260792990
1335c316b7
1420b49dc8
151409dc56
hexcedfffc

216924156 has 96 divisors (see below), whose sum is σ = 576663360. Its totient is φ = 71383680.

The previous prime is 216924139. The next prime is 216924157. The reversal of 216924156 is 651429612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216924156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216924157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198386 + ... + 1198566.

It is an arithmetic number, because the mean of its divisors is an integer number (6006910).

Almost surely, 2216924156 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 216924156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288331680).

216924156 is an abundant number, since it is smaller than the sum of its proper divisors (359739204).

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

216924156 is a wasteful number, since it uses less digits than its factorization.

216924156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 216924156 is about 14728.3453245774. The cubic root of 216924156 is about 600.8544825217.

The spelling of 216924156 in words is "two hundred sixteen million, nine hundred twenty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 181 243 274 324 362 411 486 543 548 724 729 822 972 1086 1233 1458 1629 1644 2172 2187 2466 2916 3258 3699 4374 4887 4932 6516 7398 8748 9774 11097 14661 14796 19548 22194 24797 29322 33291 43983 44388 49594 58644 66582 74391 87966 99188 99873 131949 133164 148782 175932 199746 223173 263898 297564 299619 395847 399492 446346 527796 599238 669519 791694 892692 1198476 1339038 1583388 2008557 2678076 4017114 6025671 8034228 12051342 18077013 24102684 36154026 54231039 72308052 108462078 216924156