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312200152 = 231159157383
BaseRepresentation
bin10010100110111…
…100101111011000
3210202110102002121
4102212330233120
51114410401102
650551311024
710510441345
oct2246745730
9722412077
10312200152
11150257660
128867b474
134c8acc24
142d66b7cc
151c61db37
hex129bcbd8

312200152 has 64 divisors (see below), whose sum is σ = 655257600. Its totient is φ = 138253440.

The previous prime is 312200099. The next prime is 312200159. The reversal of 312200152 is 251002213.

312200152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312200159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814953 + ... + 815335.

It is an arithmetic number, because the mean of its divisors is an integer number (10238400).

Almost surely, 2312200152 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 312200152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327628800).

312200152 is an abundant number, since it is smaller than the sum of its proper divisors (343057448).

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

312200152 is a wasteful number, since it uses less digits than its factorization.

312200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 312200152 is about 17669.1865121176. The cubic root of 312200152 is about 678.3872913081.

Adding to 312200152 its reverse (251002213), we get a palindrome (563202365).

The spelling of 312200152 in words is "three hundred twelve million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 157 236 314 383 472 628 649 766 1256 1298 1532 1727 2596 3064 3454 4213 5192 6908 8426 9263 13816 16852 18526 22597 33704 37052 45194 60131 74104 90388 101893 120262 180776 203786 240524 248567 407572 481048 497134 661441 815144 994268 1322882 1988536 2645764 3547729 5291528 7095458 14190916 28381832 39025019 78050038 156100076 312200152