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214263312 = 2435384223
BaseRepresentation
bin11001100010101…
…10011000010000
3112221011201000020
430301112120100
5414322411222
633132223440
75211131244
oct1461263020
9487151006
10214263312
11aaa4521a
125b90ab80
133550c533
1420656424
1513c2565c
hexcc56610

214263312 has 40 divisors (see below), whose sum is σ = 563963904. Its totient is φ = 70072704.

The previous prime is 214263311. The next prime is 214263347. The reversal of 214263312 is 213362412.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214263311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39568 + ... + 44655.

Almost surely, 2214263312 is an apocalyptic number.

It is an amenable number.

214263312 is an abundant number, since it is smaller than the sum of its proper divisors (349700592).

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

214263312 is a wasteful number, since it uses less digits than its factorization.

214263312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84287 (or 84281 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 214263312 is about 14637.7358904989. The cubic root of 214263312 is about 598.3876265231.

The spelling of 214263312 in words is "two hundred fourteen million, two hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 84223 168446 252669 336892 505338 673784 1010676 1347568 2021352 4042704 4463819 8927638 13391457 17855276 26782914 35710552 53565828 71421104 107131656 214263312