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140400225 = 3252797919
BaseRepresentation
bin10000101111001…
…01011001100001
3100210012001220100
420113211121201
5241420301400
621533133013
73323245050
oct1027453141
9323161810
10140400225
1172285849
123b02a169
132311a574
141490a397
15c4d5100
hex85e5661

140400225 has 72 divisors (see below), whose sum is σ = 290675840. Its totient is φ = 63452160.

The previous prime is 140400217. The next prime is 140400283. The reversal of 140400225 is 522004041.

140400225 is a `hidden beast` number, since 1 + 40 + 400 + 225 = 666.

It is not a de Polignac number, because 140400225 - 23 = 140400217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140400198 and 140400207.

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 71 ways as a sum of consecutive naturals, for example, 152316 + ... + 153234.

Almost surely, 2140400225 is an apocalyptic number.

140400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140400225 is an abundant number, since it is smaller than the sum of its proper divisors (150275615).

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

140400225 is a wasteful number, since it uses less digits than its factorization.

140400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140400225 is about 11849.0600893067. The cubic root of 140400225 is about 519.7437408451.

Adding to 140400225 its reverse (522004041), we get a palindrome (662404266).

It can be divided in two parts, 140400 and 225, that added together give a square (140625 = 3752).

The spelling of 140400225 in words is "one hundred forty million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 97 105 175 225 291 315 485 525 679 873 919 1455 1575 2037 2425 2757 3395 4365 4595 6111 6433 7275 8271 10185 13785 16975 19299 21825 22975 30555 32165 41355 50925 57897 68925 89143 96495 152775 160825 206775 267429 289485 445715 482475 624001 802287 1337145 1447425 1872003 2228575 3120005 4011435 5616009 6685725 9360015 15600025 20057175 28080045 46800075 140400225