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25231222213252 = 221117139421576421
BaseRepresentation
bin1011011110010100110100…
…00010011000101010000100
310022100002012020222002022221
411233022122002120222010
511301342020341311002
6125355021413102124
75212616131122616
oct557123202305204
9108302166862287
1025231222213252
118048557187720
1229b5b91327944
1311103a9030363
146332aa5a2db6
152db4c6accc37
hex16f29a098a84

25231222213252 has 96 divisors (see below), whose sum is σ = 51491177781120. Its totient is φ = 10690977024000.

The previous prime is 25231222213243. The next prime is 25231222213259.

25231222213252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252312222132522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (25231222213259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43484002 + ... + 44060422.

It is an arithmetic number, because the mean of its divisors is an integer number (536366435220).

Almost surely, 225231222213252 is an apocalyptic number.

25231222213252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25231222213252 is an abundant number, since it is smaller than the sum of its proper divisors (26259955567868).

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

25231222213252 is a wasteful number, since it uses less digits than its factorization.

25231222213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577013 (or 577011 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 2523122 and 2213252, that added together give a palindrome (4736374).

The spelling of 25231222213252 in words is "twenty-five trillion, two hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 11 17 22 34 44 68 139 187 278 374 421 556 748 842 1529 1684 2363 3058 4631 4726 6116 7157 9262 9452 14314 18524 25993 28628 51986 58519 78727 103972 117038 157454 234076 314908 576421 643709 994823 1152842 1287418 1989646 2305684 2574836 3979292 6340631 9799157 10943053 12681262 19598314 21886106 25362524 39196628 43772212 80122519 107790727 160245038 215581454 242673241 320490076 431162908 485346482 881347709 970692964 1362082823 1762695418 2669405651 2724165646 3525390836 4125445097 5338811302 5448331292 8250890194 10677622604 14982911053 16501780388 29965822106 33731580499 45379896067 59931644212 67463160998 90759792134 134926321996 181519584268 371047385489 573436868483 742094770978 1146873736966 1484189541956 2293747473932 6307805553313 12615611106626 25231222213252