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225432255420 = 223253733848687
BaseRepresentation
bin1101000111110011001…
…1110011101110111100
3210112212202120010021100
43101330303303232330
512143141124133140
6251321231333100
722200264361161
oct3217463635674
9715782503240
10225432255420
11876726a4109
1237834981190
131834827b718
14aca7a28068
155ce607c530
hex347ccf3bbc

225432255420 has 72 divisors (see below), whose sum is σ = 702292578624. Its totient is φ = 58490529408.

The previous prime is 225432255403. The next prime is 225432255491. The reversal of 225432255420 is 24552234522.

225432255420 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 3 + 225 + 5 + 420 = 666.

225432255420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16917684 + ... + 16931003.

It is an arithmetic number, because the mean of its divisors is an integer number (9754063592).

Almost surely, 2225432255420 is an apocalyptic number.

225432255420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225432255420 is an abundant number, since it is smaller than the sum of its proper divisors (476860323204).

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

225432255420 is a wasteful number, since it uses less digits than its factorization.

225432255420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33848739 (or 33848734 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 225432255420 its reverse (24552234522), we get a palindrome (249984489942).

The spelling of 225432255420 in words is "two hundred twenty-five billion, four hundred thirty-two million, two hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 33848687 67697374 101546061 135394748 169243435 203092122 304638183 338486870 406184244 507730305 609276366 676973740 1015460610 1218552732 1252401419 1523190915 2030921220 2504802838 3046381830 3757204257 5009605676 6092763660 6262007095 7514408514 11271612771 12524014190 15028817028 18786021285 22543225542 25048028380 37572042570 45086451084 56358063855 75144085140 112716127710 225432255420