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2190736431 = 321318724243
BaseRepresentation
bin1000001010010011…
…1111110000101111
312122200020221102100
42002210333300233
513441312031211
61001215030143
7105200644452
oct20244776057
95580227370
102190736431
11a24682784
1251180b353
1328bb3a060
1416ad49499
15cc4dc156
hex8293fc2f

2190736431 has 12 divisors (see below), whose sum is σ = 3407812408. Its totient is φ = 1348145424.

The previous prime is 2190736417. The next prime is 2190736469. The reversal of 2190736431 is 1346370912.

2190736431 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 7 + 3 + 643 + 1 = 666.

It is not a de Polignac number, because 2190736431 - 214 = 2190720047 is a prime.

It is a super-4 number, since 4×21907364314 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190736831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9362005 + ... + 9362238.

Almost surely, 22190736431 is an apocalyptic number.

2190736431 is a deficient number, since it is larger than the sum of its proper divisors (1217075977).

2190736431 is a wasteful number, since it uses less digits than its factorization.

2190736431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18724262 (or 18724259 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2190736431 is about 46805.3034495024. The cubic root of 2190736431 is about 1298.7634061440.

The spelling of 2190736431 in words is "two billion, one hundred ninety million, seven hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 18724243 56172729 168518187 243415159 730245477 2190736431