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225202441032 = 233231244741233
BaseRepresentation
bin1101000110111100011…
…1001000101101001000
3210112021202010100012100
43101233013020231020
512142203311103112
6251242341513400
722161504110322
oct3215707105510
9715252110170
10225202441032
11875649a8168
123778ba12860
131830c785a8a
14ac852c4612
155cd0cd42dc
hex346f1c8b48

225202441032 has 96 divisors (see below), whose sum is σ = 629870791680. Its totient is φ = 72614499840.

The previous prime is 225202440989. The next prime is 225202441043. The reversal of 225202441032 is 230144202522.

225202441032 is a `hidden beast` number, since 225 + 2 + 0 + 24 + 410 + 3 + 2 = 666.

It is a super-2 number, since 2×2252024410322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225202440987 and 225202441005.

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, 5441088 + ... + 5482320.

It is an arithmetic number, because the mean of its divisors is an integer number (6561154080).

Almost surely, 2225202441032 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 225202441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314935395840).

225202441032 is an abundant number, since it is smaller than the sum of its proper divisors (404668350648).

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

225202441032 is a wasteful number, since it uses less digits than its factorization.

225202441032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43723 (or 43716 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 225202441032 its reverse (230144202522), we get a palindrome (455346643554).

The spelling of 225202441032 in words is "two hundred twenty-five billion, two hundred two million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2447 4894 7341 9788 14682 19576 22023 29364 41233 44046 58728 75857 82466 88092 123699 151714 164932 176184 227571 247398 303428 329864 371097 455142 494796 606856 682713 742194 910284 989592 1278223 1365426 1484388 1820568 2556446 2730852 2968776 3834669 5112892 5461704 7669338 10225784 11504007 15338676 23008014 30677352 46016028 92032056 100897151 201794302 302691453 403588604 605382906 807177208 908074359 1210765812 1816148718 2421531624 3127811681 3632297436 6255623362 7264594872 9383435043 12511246724 18766870086 25022493448 28150305129 37533740172 56300610258 75067480344 112601220516 225202441032