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212410152 = 233223294423
BaseRepresentation
bin11001010100100…
…01111100101000
3112210200112221200
430222101330220
5413334111102
633024404200
75156312403
oct1452217450
9483615850
10212410152
11a9999989
125b176660
1335010ba6
14202d2d3a
15139ab51c
hexca91f28

212410152 has 96 divisors (see below), whose sum is σ = 621129600. Its totient is φ = 65374848.

The previous prime is 212410147. The next prime is 212410157. The reversal of 212410152 is 251014212.

It is an interprime number because it is at equal distance from previous prime (212410147) and next prime (212410157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212410157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45813 + ... + 50235.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2212410152 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 212410152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310564800).

212410152 is an abundant number, since it is smaller than the sum of its proper divisors (408719448).

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

212410152 is a wasteful number, since it uses less digits than its factorization.

212410152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212410152 is about 14574.2976503158. The cubic root of 212410152 is about 596.6574805170.

Adding to 212410152 its reverse (251014212), we get a palindrome (463424364).

The spelling of 212410152 in words is "two hundred twelve million, four hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1656 2001 2088 2668 4002 4423 5336 6003 8004 8846 12006 13269 16008 17692 24012 26538 35384 39807 48024 53076 79614 101729 106152 128267 159228 203458 256534 305187 318456 384801 406916 513068 610374 769602 813832 915561 1026136 1154403 1220748 1539204 1831122 2308806 2441496 2950141 3078408 3662244 4617612 5900282 7324488 8850423 9235224 11800564 17700846 23601128 26551269 35401692 53102538 70803384 106205076 212410152