Search a number
-
+
1225430496 = 253229314733
BaseRepresentation
bin100100100001010…
…1001010111100000
310011101212022121200
41021002221113200
510002202233441
6321333121200
742236662443
oct11102512740
93141768550
101225430496
115797a6084
122a2489200
13166b59604
14b8a6d65a
15728b07b6
hex490a95e0

1225430496 has 144 divisors (see below), whose sum is σ = 3722060160. Its totient is φ = 381588480.

The previous prime is 1225430489. The next prime is 1225430497. The reversal of 1225430496 is 6940345221.

It is a happy number.

1225430496 is a `hidden beast` number, since 1 + 22 + 543 + 0 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1225430496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225430497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256546 + ... + 261278.

It is an arithmetic number, because the mean of its divisors is an integer number (25847640).

Almost surely, 21225430496 is an apocalyptic number.

1225430496 is a gapful number since it is divisible by the number (16) 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 1225430496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861030080).

1225430496 is an abundant number, since it is smaller than the sum of its proper divisors (2496629664).

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

1225430496 is a wasteful number, since it uses less digits than its factorization.

1225430496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1225430496 is about 35006.1494026407. The cubic root of 1225430496 is about 1070.1128061113.

The spelling of 1225430496 in words is "one billion, two hundred twenty-five million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 72 87 93 96 116 124 144 174 186 232 248 261 279 288 348 372 464 496 522 558 696 744 899 928 992 1044 1116 1392 1488 1798 2088 2232 2697 2784 2976 3596 4176 4464 4733 5394 7192 8091 8352 8928 9466 10788 14199 14384 16182 18932 21576 28398 28768 32364 37864 42597 43152 56796 64728 75728 85194 86304 113592 129456 137257 146723 151456 170388 227184 258912 274514 293446 340776 411771 440169 454368 549028 586892 681552 823542 880338 1098056 1173784 1235313 1320507 1363104 1647084 1760676 2196112 2347568 2470626 2641014 3294168 3521352 4254967 4392224 4695136 4941252 5282028 6588336 7042704 8509934 9882504 10564056 12764901 13176672 14085408 17019868 19765008 21128112 25529802 34039736 38294703 39530016 42256224 51059604 68079472 76589406 102119208 136158944 153178812 204238416 306357624 408476832 612715248 1225430496