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25202220252 = 22311225169151
BaseRepresentation
bin10111011110001010…
…110101110011011100
32102001101102102211220
4113132022311303130
5403103232022002
615324443013340
71551351223536
oct273612656334
972041372756
1025202220252
11a762aa6100
124a7420a250
1324b83ba281
141311186856
159c78197bc
hex5de2b5cdc

25202220252 has 72 divisors (see below), whose sum is σ = 64895556096. Its totient is φ = 7606500000.

The previous prime is 25202220223. The next prime is 25202220287.

25202220252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329877 + ... + 399027.

It is an arithmetic number, because the mean of its divisors is an integer number (901327168).

Almost surely, 225202220252 is an apocalyptic number.

25202220252 is a gapful number since it is divisible by the number (22) 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 25202220252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32447778048).

25202220252 is an abundant number, since it is smaller than the sum of its proper divisors (39693335844).

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

25202220252 is a wasteful number, since it uses less digits than its factorization.

25202220252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69431 (or 69418 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 25202220252 in words is "twenty-five billion, two hundred two million, two hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 251 363 484 502 726 753 1004 1452 1506 2761 3012 5522 8283 11044 16566 30371 33132 60742 69151 91113 121484 138302 182226 207453 276604 364452 414906 760661 829812 1521322 2281983 3042644 4563966 8367271 9127932 16734542 17356901 25101813 33469084 34713802 50203626 52070703 69427604 100407252 104141406 190925911 208282812 381851822 572777733 763703644 1145555466 2100185021 2291110932 4200370042 6300555063 8400740084 12601110126 25202220252