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25001024224 = 2511432107359
BaseRepresentation
bin10111010010001011…
…010101101011100000
32101112100211121210011
4113102023111223200
5402200230233344
615252454414304
71543356125311
oct272213255340
971470747704
1025001024224
11a66a4765a0
124a18961394
132485804777
1412d2572608
159b4d25d34
hex5d22d5ae0

25001024224 has 144 divisors (see below), whose sum is σ = 55641479040. Its totient is φ = 10965454080.

The previous prime is 25001024183. The next prime is 25001024231. The reversal of 25001024224 is 42242010052.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 25001024195 and 25001024204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69640557 + ... + 69640915.

It is an arithmetic number, because the mean of its divisors is an integer number (386399160).

Almost surely, 225001024224 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 25001024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820739520).

25001024224 is an abundant number, since it is smaller than the sum of its proper divisors (30640454816).

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

25001024224 is a wasteful number, since it uses less digits than its factorization.

25001024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 25001024224 its reverse (42242010052), we get a palindrome (67243034276).

The spelling of 25001024224 in words is "twenty-five billion, one million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 107 172 176 214 344 352 359 428 473 688 718 856 946 1177 1376 1436 1712 1849 1892 2354 2872 3424 3698 3784 3949 4601 4708 5744 7396 7568 7898 9202 9416 11488 14792 15136 15437 15796 18404 18832 20339 29584 30874 31592 36808 37664 38413 40678 50611 59168 61748 63184 73616 76826 81356 101222 123496 126368 147232 153652 162712 169807 197843 202444 246992 307304 325424 339614 395686 404888 422543 493984 614608 650848 663791 679228 791372 809776 845086 1229216 1327582 1358456 1582744 1619552 1651759 1690172 2176273 2655164 2716912 3165488 3303518 3380344 4352546 5310328 5433824 6330976 6607036 6760688 7301701 8705092 10620656 13214072 13521376 14603402 17410184 18169349 21241312 26428144 29206804 34820368 36338698 52856288 58413608 69640736 71025637 72677396 116827216 142051274 145354792 233654432 284102548 290709584 568205096 581419168 781282007 1136410192 1562564014 2272820384 3125128028 6250256056 12500512112 25001024224