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1234224140 = 225177349727
BaseRepresentation
bin100100110010000…
…1100010000001100
310012000102002020012
41021210030100030
510011430133030
6322245412352
742404506052
oct11144142014
93160362205
101234224140
11583761956
122a540a0b8
13168918056
14b9cbc1d2
157354b095
hex4990c40c

1234224140 has 48 divisors (see below), whose sum is σ = 2781983232. Its totient is φ = 458274816.

The previous prime is 1234224083. The next prime is 1234224149. The reversal of 1234224140 is 414224321.

It is not an unprimeable number, because it can be changed into a prime (1234224149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44 + ... + 49683.

It is an arithmetic number, because the mean of its divisors is an integer number (57957984).

Almost surely, 21234224140 is an apocalyptic number.

1234224140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390991616).

1234224140 is an abundant number, since it is smaller than the sum of its proper divisors (1547759092).

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

1234224140 is a wasteful number, since it uses less digits than its factorization.

1234224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49826 (or 49824 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1234224140 is about 35131.5262976148. The cubic root of 1234224140 is about 1072.6664043053. Note that the first 3 decimals are identical.

Adding to 1234224140 its reverse (414224321), we get a palindrome (1648448461).

The spelling of 1234224140 in words is "one billion, two hundred thirty-four million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 49727 99454 198908 248635 497270 845359 994540 1690718 3381436 3630071 4226795 7260142 8453590 14520284 16907180 18150355 36300710 61711207 72601420 123422414 246844828 308556035 617112070 1234224140