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225413151048 = 233662172
BaseRepresentation
bin1101000111101110101…
…0111011100101001000
3210112211102121112000000
43101323222323211020
512143121231313143
6251315310043000
722166643112251
oct3217352734510
9715742545000
10225413151048
1187662935778
123782a4a9460
131834431cb67
14aca5293b28
155ce4556bd3
hex347babb948

225413151048 has 84 divisors (see below), whose sum is σ = 633786548265. Its totient is φ = 75125631168.

The previous prime is 225413151031. The next prime is 225413151049. The reversal of 225413151048 is 840151314522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225413151048 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 131 + 510 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212021569764 + 13391581284 = 460458^2 + 115722^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335718.

It is a super-2 number, since 2×2254131510482 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225413151049) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 36254436 + ... + 36260652.

Almost surely, 2225413151048 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 225413151048

225413151048 is an abundant number, since it is smaller than the sum of its proper divisors (408373397217).

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

225413151048 is an frugal number, since it uses more digits than its factorization.

225413151048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 225413151048 in words is "two hundred twenty-five billion, four hundred thirteen million, one hundred fifty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6217 12434 18651 24868 37302 49736 55953 74604 111906 149208 167859 223812 335718 447624 503577 671436 1007154 1342872 1510731 2014308 3021462 4028616 4532193 6042924 9064386 12085848 18128772 36257544 38651089 77302178 115953267 154604356 231906534 309208712 347859801 463813068 695719602 927626136 1043579403 1391439204 2087158806 2782878408 3130738209 4174317612 6261476418 8348635224 9392214627 12522952836 18784429254 25045905672 28176643881 37568858508 56353287762 75137717016 112706575524 225413151048