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226308690160 = 24579717412393
BaseRepresentation
bin1101001011000100001…
…1001001000011110000
3210122010211201121201021
43102301003021003300
512201440011041120
6251544220345224
722231066061410
oct3226103110360
9718124647637
10226308690160
1187a823a0543
1237a3a3a5214
1318457a13c67
14ad4c1ac640
155d47ea1aaa
hex34b10c90f0

226308690160 has 160 divisors (see below), whose sum is σ = 608136826752. Its totient is φ = 76715458560.

The previous prime is 226308690131. The next prime is 226308690163. The reversal of 226308690160 is 61096803622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226308690163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94569924 + ... + 94572316.

Almost surely, 2226308690160 is an apocalyptic number.

226308690160 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 226308690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304068413376).

226308690160 is an abundant number, since it is smaller than the sum of its proper divisors (381828136592).

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

226308690160 is a wasteful number, since it uses less digits than its factorization.

226308690160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 226308690160 in words is "two hundred twenty-six billion, three hundred eight million, six hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1741 1940 2393 2716 3395 3482 3880 4786 5432 6790 6964 7760 8705 9572 10864 11965 12187 13580 13928 16751 17410 19144 23930 24374 27160 27856 33502 34820 38288 47860 48748 54320 60935 67004 69640 83755 95720 97496 121870 134008 139280 167510 168877 191440 194992 232121 243740 268016 335020 337754 464242 487480 670040 675508 844385 928484 974960 1160605 1182139 1340080 1351016 1624847 1688770 1856968 2321210 2364278 2702032 3249694 3377540 3713936 4166213 4642420 4728556 5910695 6499388 6755080 8124235 8332426 9284840 9457112 11821390 12998776 13510160 16248470 16664852 18569680 18914224 20831065 23642780 25997552 29163491 32496940 33329704 41662130 47285560 58326982 64993880 66659408 83324260 94571120 116653964 129987760 145817455 166648520 233307928 291634910 333297040 404122661 466615856 583269820 808245322 1166539640 1616490644 2020613305 2333079280 2828858627 3232981288 4041226610 5657717254 6465962576 8082453220 11315434508 14144293135 16164906440 22630869016 28288586270 32329812880 45261738032 56577172540 113154345080 226308690160