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225389332240 = 24516734134943
BaseRepresentation
bin1101000111101001000…
…0000100011100010000
3210112202202210101201221
43101322100010130100
512143044132112430
6251313055334424
722166233466542
oct3217220043420
9715682711657
10225389332240
1187650447306
1237822521414
131833c4004a7
14aca2053692
155ce23ee57a
hex347a404710

225389332240 has 80 divisors (see below), whose sum is σ = 527429242368. Its totient is φ = 89571496448.

The previous prime is 225389332141. The next prime is 225389332241. The reversal of 225389332240 is 42233983522.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (225389332241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45595209 + ... + 45600151.

Almost surely, 2225389332240 is an apocalyptic number.

225389332240 is a gapful number since it is divisible by the number (20) 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 225389332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263714621184).

225389332240 is an abundant number, since it is smaller than the sum of its proper divisors (302039910128).

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

225389332240 is a wasteful number, since it uses less digits than its factorization.

225389332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 225389332240 in words is "two hundred twenty-five billion, three hundred eighty-nine million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 3413 4943 6680 6826 9886 13360 13652 17065 19772 24715 27304 34130 39544 49430 54608 68260 79088 98860 136520 197720 273040 395440 569971 825481 1139942 1650962 2279884 2849855 3301924 4127405 4559768 5699710 6603848 8254810 9119536 11399420 13207696 16509620 16870459 22798840 33019240 33740918 45597680 66038480 67481836 84352295 134963672 168704590 269927344 337409180 674818360 1349636720 2817366653 5634733306 11269466612 14086833265 22538933224 28173666530 45077866448 56347333060 112694666120 225389332240