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212162496 = 26371312143
BaseRepresentation
bin11001010010101…
…01011111000000
3112210012222020020
430221111133000
5413303144441
633015213440
75154231360
oct1451253700
9483188206
10212162496
11a983a907
125b077280
1334c55250
142026a9a0
151395ce66
hexca557c0

212162496 has 112 divisors (see below), whose sum is σ = 690945024. Its totient is φ = 55950336.

The previous prime is 212162471. The next prime is 212162507. The reversal of 212162496 is 694261212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 11401 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (6169152).

Almost surely, 2212162496 is an apocalyptic number.

212162496 is a gapful number since it is divisible by the number (26) 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 212162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345472512).

212162496 is an abundant number, since it is smaller than the sum of its proper divisors (478782528).

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

212162496 is a wasteful number, since it uses less digits than its factorization.

212162496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12168 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 212162496 is about 14565.7988452402. The cubic root of 212162496 is about 596.4255027935.

The spelling of 212162496 in words is "two hundred twelve million, one hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 12143 17472 24286 36429 48572 72858 85001 97144 145716 157859 170002 194288 255003 291432 315718 340004 388576 473577 510006 582864 631436 680008 777152 947154 1020012 1105013 1165728 1262872 1360016 1894308 2040024 2210026 2331456 2525744 2720032 3315039 3788616 4080048 4420052 5051488 5440064 6630078 7577232 8160096 8840104 10102976 13260156 15154464 16320192 17680208 26520312 30308928 35360416 53040624 70720832 106081248 212162496