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226015561344 = 2735693103387
BaseRepresentation
bin1101001001111110010…
…0111100011010000000
3210121101102011010120110
43102133210330122000
512200334440430334
6251455145511320
722220606400426
oct3223744743200
9717342133513
10226015561344
118794198a521
12379781a2540
131840c080861
14ad212a7116
155d2c39dae9
hex349f93c680

226015561344 has 64 divisors (see below), whose sum is σ = 600465097440. Its totient is φ = 75324558336.

The previous prime is 226015561339. The next prime is 226015561349. The reversal of 226015561344 is 443165510622.

It is an interprime number because it is at equal distance from previous prime (226015561339) and next prime (226015561349).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (226015561349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134419 + ... + 2237805.

Almost surely, 2226015561344 is an apocalyptic number.

226015561344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226015561344 is an abundant number, since it is smaller than the sum of its proper divisors (374449536096).

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

226015561344 is a wasteful number, since it uses less digits than its factorization.

226015561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109097 (or 109085 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 226015561344 in words is "two hundred twenty-six billion, fifteen million, five hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5693 11386 17079 22772 34158 45544 68316 91088 103387 136632 182176 206774 273264 310161 364352 413548 546528 620322 728704 827096 1093056 1240644 1654192 2186112 2481288 3308384 4962576 6616768 9925152 13233536 19850304 39700608 588582191 1177164382 1765746573 2354328764 3531493146 4708657528 7062986292 9417315056 14125972584 18834630112 28251945168 37669260224 56503890336 75338520448 113007780672 226015561344