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212807994 = 23731732239
BaseRepresentation
bin11001010111100…
…11000100111010
3112211102202200120
430223303010322
5413434323434
633041114110
75162560320
oct1453630472
9484382616
10212807994
11aa140883
125b328936
133511ccb9
1420397d10
1513a39349
hexcaf313a

212807994 has 64 divisors (see below), whose sum is σ = 509214720. Its totient is φ = 58008960.

The previous prime is 212807993. The next prime is 212808019. The reversal of 212807994 is 499708212.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (212807993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93927 + ... + 96165.

It is an arithmetic number, because the mean of its divisors is an integer number (7956480).

Almost surely, 2212807994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212807994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254607360).

212807994 is an abundant number, since it is smaller than the sum of its proper divisors (296406726).

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

212807994 is a wasteful number, since it uses less digits than its factorization.

212807994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 212807994 is about 14587.9400190705. The cubic root of 212807994 is about 597.0297592689.

The spelling of 212807994 in words is "two hundred twelve million, eight hundred seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 73 93 146 186 217 219 434 438 511 651 1022 1302 1533 2239 2263 3066 4478 4526 6717 6789 13434 13578 15673 15841 31346 31682 47019 47523 69409 94038 95046 138818 163447 208227 326894 416454 485863 490341 971726 980682 1144129 1457589 2288258 2915178 3432387 5066857 6864774 10133714 15200571 30401142 35467999 70935998 106403997 212807994