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316899216 = 2436101269
BaseRepresentation
bin10010111000110…
…111111110010000
3211002022011000000
4102320313332100
51122111233331
651240130000
710565412264
oct2270677620
9732264000
10316899216
11152977087
128a166900
1350866a3a
14301320a4
151cc4b0e6
hex12e37f90

316899216 has 140 divisors (see below), whose sum is σ = 933137820. Its totient is φ = 104198400.

The previous prime is 316899181. The next prime is 316899217. The reversal of 316899216 is 612998613.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 167961600 + 148937616 = 12960^2 + 12204^2 .

It is a super-2 number, since 2×3168992162 = 200850226202829312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (316899217) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1177930 + ... + 1178198.

Almost surely, 2316899216 is an apocalyptic number.

316899216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316899216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466568910).

316899216 is an abundant number, since it is smaller than the sum of its proper divisors (616238604).

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

316899216 is a wasteful number, since it uses less digits than its factorization.

316899216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 316899216 is about 17801.6632930746. The cubic root of 316899216 is about 681.7739265530.

The spelling of 316899216 in words is "three hundred sixteen million, eight hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 269 303 324 404 432 486 538 606 648 729 807 808 909 972 1076 1212 1296 1458 1614 1616 1818 1944 2152 2421 2424 2727 2916 3228 3636 3888 4304 4842 4848 5454 5832 6456 7263 7272 8181 9684 10908 11664 12912 14526 14544 16362 19368 21789 21816 24543 27169 29052 32724 38736 43578 43632 49086 54338 58104 65367 65448 73629 81507 87156 98172 108676 116208 130734 130896 147258 163014 174312 196101 196344 217352 244521 261468 294516 326028 348624 392202 392688 434704 489042 522936 589032 652056 733563 784404 978084 1045872 1178064 1304112 1467126 1568808 1956168 2200689 2934252 3137616 3912336 4401378 5868504 6602067 8802756 11737008 13204134 17605512 19806201 26408268 35211024 39612402 52816536 79224804 105633072 158449608 316899216