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212452152 = 23311804743
BaseRepresentation
bin11001010100111…
…00001100111000
3112210202200120020
430222130030320
5413341432102
633025330440
75156546013
oct1452341470
9483680506
10212452152
11a9a184a0
125b196a20
1335027043
142030437a
15139b8bbc
hexca9c338

212452152 has 32 divisors (see below), whose sum is σ = 579415680. Its totient is φ = 64379360.

The previous prime is 212452147. The next prime is 212452157. The reversal of 212452152 is 251254212.

It is an interprime number because it is at equal distance from previous prime (212452147) and next prime (212452157).

It is a super-2 number, since 2×2124521522 = 90271833778862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212452157) 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 7 ways as a sum of consecutive naturals, for example, 402108 + ... + 402635.

It is an arithmetic number, because the mean of its divisors is an integer number (18106740).

Almost surely, 2212452152 is an apocalyptic number.

212452152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212452152 is an abundant number, since it is smaller than the sum of its proper divisors (366963528).

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

212452152 is a wasteful number, since it uses less digits than its factorization.

212452152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804763 (or 804759 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 212452152 is about 14575.7384718580. The cubic root of 212452152 is about 596.6968037516.

The spelling of 212452152 in words is "two hundred twelve million, four hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 804743 1609486 2414229 3218972 4828458 6437944 8852173 9656916 17704346 19313832 26556519 35408692 53113038 70817384 106226076 212452152