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225240105552 = 24372118705941
BaseRepresentation
bin1101000111000101011…
…0110100001001010000
3210112101100222220012120
43101301112310021100
512142242431334202
6251250205054240
722162442210400
oct3216126641120
9715340886176
10225240105552
1187584193070
12377a0557380
1318317512587
14ac8a2ca800
155cd42740bc
hex34715b4250

225240105552 has 120 divisors (see below), whose sum is σ = 738403176672. Its totient is φ = 58503916800.

The previous prime is 225240105533. The next prime is 225240105553. The reversal of 225240105552 is 255501042522.

It is a happy number.

It is a super-2 number, since 2×2252401055522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225240105553) 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, 4327099 + ... + 4378842.

Almost surely, 2225240105552 is an apocalyptic number.

225240105552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225240105552 is an abundant number, since it is smaller than the sum of its proper divisors (513163071120).

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

225240105552 is a wasteful number, since it uses less digits than its factorization.

225240105552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705977 (or 8705964 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 225240105552 in words is "two hundred twenty-five billion, two hundred forty million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 8705941 17411882 26117823 34823764 52235646 60941587 69647528 95765351 104471292 121883174 139295056 182824761 191530702 208942584 243766348 287296053 365649522 383061404 417885168 426591109 487532696 574592106 670357457 731299044 766122808 853182218 975065392 1149184212 1279773327 1340714914 1462598088 1532245616 1706364436 2011072371 2298368424 2559546654 2681429828 2925196176 3412728872 4022144742 4596736848 4692502199 5119093308 5362859656 6825457744 8044289484 9385004398 10238186616 10725719312 14077506597 16088578968 18770008796 20476373232 28155013194 32177157936 37540017592 56310026388 75080035184 112620052776 225240105552