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214744194025 = 52926812
BaseRepresentation
bin1100011111111111000…
…0000101101111101001
3202112021220002100100121
43013333300011233221
512004244003202100
6242352505203241
721341363350264
oct3077760055751
9675256070317
10214744194025
1183088554419
1235751490521
1317333b71c3a
14a572357cdb
1558bcaa951a
hex31ffc05be9

214744194025 has 9 divisors (see below), whose sum is σ = 266285673733. Its totient is φ = 171793501600.

The previous prime is 214744194013. The next prime is 214744194037. The reversal of 214744194025 is 520491447412.

The square root of 214744194025 is 463405.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (214744194013) and next prime (214744194037).

It can be written as a sum of positive squares in 4 ways, for example, as 42880883929 + 171863310096 = 207077^2 + 414564^2 .

It is a de Polignac number, because none of the positive numbers 2k-214744194025 is a prime.

It is a super-2 number, since 2×2147441940252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2270685 + ... + 2363365.

Almost surely, 2214744194025 is an apocalyptic number.

214744194025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214744194025 is the 463405-th square number.

214744194025 is the 231703-rd centered octagonal number.

It is an amenable number.

214744194025 is a deficient number, since it is larger than the sum of its proper divisors (51541479708).

214744194025 is an frugal number, since it uses more digits than its factorization.

214744194025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185372 (or 92686 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 214744194025 in words is "two hundred fourteen billion, seven hundred forty-four million, one hundred ninety-four thousand, twenty-five".

Divisors: 1 5 25 92681 463405 2317025 8589767761 42948838805 214744194025