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1445400224 = 251923412521
BaseRepresentation
bin101011000100111…
…0000111010100000
310201201202221100122
41112021300322200
510430010301344
6355231535412
750550461552
oct12611607240
93651687318
101445400224
11681988644
1234408a568
131a05b6308
14d9d6d4d2
1586d61aee
hex56270ea0

1445400224 has 96 divisors (see below), whose sum is σ = 3203141760. Its totient is φ = 638668800.

The previous prime is 1445400211. The next prime is 1445400233. The reversal of 1445400224 is 4220045441.

It is a junction number, because it is equal to n+sod(n) for n = 1445400193 and 1445400202.

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 15 ways as a sum of consecutive naturals, for example, 572084 + ... + 574604.

It is an arithmetic number, because the mean of its divisors is an integer number (33366060).

Almost surely, 21445400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601570880).

1445400224 is an abundant number, since it is smaller than the sum of its proper divisors (1757741536).

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

1445400224 is a wasteful number, since it uses less digits than its factorization.

1445400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1445400224 is about 38018.4195357987. The cubic root of 1445400224 is about 1130.6530863322.

Adding to 1445400224 its reverse (4220045441), we get a palindrome (5665445665).

The spelling of 1445400224 in words is "one billion, four hundred forty-five million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 76 82 92 152 164 184 304 328 368 437 608 656 736 779 874 943 1312 1558 1748 1886 2521 3116 3496 3772 5042 6232 6992 7544 10084 12464 13984 15088 17917 20168 24928 30176 35834 40336 47899 57983 71668 80672 95798 103361 115966 143336 191596 206722 231932 286672 383192 413444 463864 573344 766384 826888 927728 1101677 1532768 1653776 1855456 1963859 2203354 2377303 3307552 3927718 4406708 4754606 7855436 8813416 9509212 15710872 17626832 19018424 31421744 35253664 38036848 45168757 62843488 76073696 90337514 180675028 361350056 722700112 1445400224