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225110874968 = 2373127357301
BaseRepresentation
bin1101000110100110100…
…1110101101101011000
3210112001100211022011122
43101221221311231120
512142011340444333
6251225311144412
722156312603010
oct3215151655530
9715040738148
10225110874968
1187518247231
1237765215108
13182c6806085
14ac7708ac40
155cc7c48798
hex3469a75b58

225110874968 has 96 divisors (see below), whose sum is σ = 505279867680. Its totient is φ = 92083392000.

The previous prime is 225110874949. The next prime is 225110874983. The reversal of 225110874968 is 869478011522.

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, 3899918 + ... + 3957218.

It is an arithmetic number, because the mean of its divisors is an integer number (5263331955).

Almost surely, 2225110874968 is an apocalyptic number.

225110874968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225110874968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252639933840).

225110874968 is an abundant number, since it is smaller than the sum of its proper divisors (280168992712).

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

225110874968 is a wasteful number, since it uses less digits than its factorization.

225110874968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57449 (or 57414 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 225110874968 in words is "two hundred twenty-five billion, one hundred ten million, eight hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 73 124 146 217 248 292 434 511 584 868 961 1022 1736 1922 2044 2263 3844 4088 4526 6727 7688 9052 13454 15841 18104 26908 31682 53816 57301 63364 70153 114602 126728 140306 229204 280612 401107 458408 491071 561224 802214 982142 1604428 1776331 1964284 3208856 3552662 3928568 4182973 7105324 8365946 12434317 14210648 16731892 24868634 29280811 33463784 49737268 55066261 58561622 99474536 110132522 117123244 129672163 220265044 234246488 259344326 385463827 440530088 518688652 770927654 907705141 1037377304 1541855308 1815410282 3083710616 3630820564 4019837053 7261641128 8039674106 16079348212 28138859371 32158696424 56277718742 112555437484 225110874968