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226264622144 = 2611716916551
BaseRepresentation
bin1101001010111001101…
…1000010010001000000
3210122000202210201202112
43102232123002101000
512201342220402034
6251540004034452
722230022361261
oct3225633022100
9718022721675
10226264622144
1187a5a5315a0
1237a27692a28
131844b854902
14ad463ba968
155d441997ce
hex34ae6c2440

226264622144 has 112 divisors (see below), whose sum is σ = 497504996352. Its totient is φ = 101236800000.

The previous prime is 226264622119. The next prime is 226264622147. The reversal of 226264622144 is 441226462622.

It is not an unprimeable number, because it can be changed into a prime (226264622147) 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, 34535669 + ... + 34542219.

It is an arithmetic number, because the mean of its divisors is an integer number (4442008896).

Almost surely, 2226264622144 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 226264622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248752498176).

226264622144 is an abundant number, since it is smaller than the sum of its proper divisors (271240374208).

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

226264622144 is a wasteful number, since it uses less digits than its factorization.

226264622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7326 counting only the distinct ones).

The product of its digits is 442368, while the sum is 41.

The spelling of 226264622144 in words is "two hundred twenty-six billion, two hundred sixty-four million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 691 704 781 1136 1382 1562 2272 2764 3124 4544 5528 6248 6551 7601 11056 12496 13102 15202 22112 24992 26204 30404 44224 49061 49984 52408 60808 72061 98122 104816 121616 144122 196244 209632 243232 288244 392488 419264 465121 486464 539671 576488 784976 930242 1079342 1152976 1569952 1860484 2158684 2305952 3139904 3720968 4317368 4526741 4611904 5116331 7441936 8634736 9053482 10232662 14883872 17269472 18106964 20465324 29767744 34538944 36213928 40930648 49794151 72427856 81861296 99588302 144855712 163722592 199176604 289711424 321398611 327445184 398353208 642797222 796706416 1285594444 1593412832 2571188888 3186825664 3535384721 5142377776 7070769442 10284755552 14141538884 20569511104 28283077768 56566155536 113132311072 226264622144