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212630152 = 237171491499
BaseRepresentation
bin11001010110001…
…11101010001000
3112211002201201211
430223013222020
5413413131102
633033222504
75161216660
oct1453075210
9484081654
10212630152
11aa02a1a9
125b261a34
133508a077
142034d1a0
1513a017d7
hexcac7a88

212630152 has 64 divisors (see below), whose sum is σ = 486000000. Its totient is φ = 85134336.

The previous prime is 212630113. The next prime is 212630183. The reversal of 212630152 is 251036212.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141099 + ... + 142597.

It is an arithmetic number, because the mean of its divisors is an integer number (7593750).

Almost surely, 2212630152 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 212630152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243000000).

212630152 is an abundant number, since it is smaller than the sum of its proper divisors (273369848).

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

212630152 is a wasteful number, since it uses less digits than its factorization.

212630152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 212630152 is about 14581.8432305384. The cubic root of 212630152 is about 596.8634018634.

Adding to 212630152 its reverse (251036212), we get a palindrome (463666364).

The spelling of 212630152 in words is "two hundred twelve million, six hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 149 238 298 476 596 952 1043 1192 1499 2086 2533 2998 4172 5066 5996 8344 10132 10493 11992 17731 20264 20986 25483 35462 41972 50966 70924 83944 101932 141848 178381 203864 223351 356762 446702 713524 893404 1427048 1563457 1786808 3126914 3796967 6253828 7593934 12507656 15187868 26578769 30375736 53157538 106315076 212630152