Search a number
-
+
1402212224 = 27721713151
BaseRepresentation
bin101001110010100…
…0000111110000000
310121201111202120002
41103211000332000
510332431242344
6351050135132
746514415200
oct12345007600
93551452502
101402212224
1165a56a886
123317214a8
1319467469a
14d432a400
158318044e
hex53940f80

1402212224 has 96 divisors (see below), whose sum is σ = 3440957760. Its totient is φ = 565555200.

The previous prime is 1402212221. The next prime is 1402212239. The reversal of 1402212224 is 4222122041.

It is a super-2 number, since 2×14022122242 = 3932398242270052352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1402212196 and 1402212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402212221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100049 + ... + 113199.

It is an arithmetic number, because the mean of its divisors is an integer number (35843310).

Almost surely, 21402212224 is an apocalyptic number.

1402212224 is a gapful number since it is divisible by the number (14) 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 1402212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720478880).

1402212224 is an abundant number, since it is smaller than the sum of its proper divisors (2038745536).

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

1402212224 is a wasteful number, since it uses less digits than its factorization.

1402212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13196 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1402212224 is about 37446.1242854317. The cubic root of 1402212224 is about 1119.2778678308.

Adding to 1402212224 its reverse (4222122041), we get a palindrome (5624334265).

The spelling of 1402212224 in words is "one billion, four hundred two million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 392 448 476 544 784 833 896 952 1088 1568 1666 1904 2176 3136 3332 3808 6272 6664 7616 13151 13328 15232 26302 26656 52604 53312 92057 105208 106624 184114 210416 223567 368228 420832 447134 644399 736456 841664 894268 1288798 1472912 1564969 1683328 1788536 2577596 2945824 3129938 3577072 5155192 5891648 6259876 7154144 10310384 10954783 11783296 12519752 14308288 20620768 21909566 25039504 28616576 41241536 43819132 50079008 82483072 87638264 100158016 175276528 200316032 350553056 701106112 1402212224