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226014960 = 243541103223
BaseRepresentation
bin11010111100010…
…11011011110000
3120202021202020110
431132023123300
5430324434320
634232141320
75413044513
oct1536133360
9522252213
10226014960
11106641426
1263837840
1337a95482
1422034d7a
1514c975e0
hexd78b6f0

226014960 has 160 divisors (see below), whose sum is σ = 727953408. Its totient is φ = 57968640.

The previous prime is 226014941. The next prime is 226014967. The reversal of 226014960 is 69410622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226014967) 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, 1013409 + ... + 1013631.

Almost surely, 2226014960 is an apocalyptic number.

226014960 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 226014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363976704).

226014960 is an abundant number, since it is smaller than the sum of its proper divisors (501938448).

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

226014960 is a wasteful number, since it uses less digits than its factorization.

226014960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 226014960 is about 15033.7939323379. The cubic root of 226014960 is about 609.1333747639.

The spelling of 226014960 in words is "two hundred twenty-six million, fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 103 120 123 164 205 206 223 240 246 309 328 410 412 446 492 515 615 618 656 669 820 824 892 984 1030 1115 1230 1236 1338 1545 1640 1648 1784 1968 2060 2230 2460 2472 2676 3090 3280 3345 3568 4120 4223 4460 4920 4944 5352 6180 6690 8240 8446 8920 9143 9840 10704 12360 12669 13380 16892 17840 18286 21115 22969 24720 25338 26760 27429 33784 36572 42230 45715 45938 50676 53520 54858 63345 67568 68907 73144 84460 91430 91876 101352 109716 114845 126690 137145 137814 146288 168920 182860 183752 202704 219432 229690 253380 274290 275628 337840 344535 365720 367504 438864 459380 506760 548580 551256 689070 731440 918760 941729 1013520 1097160 1102512 1378140 1837520 1883458 2194320 2756280 2825187 3766916 4708645 5512560 5650374 7533832 9417290 11300748 14125935 15067664 18834580 22601496 28251870 37669160 45202992 56503740 75338320 113007480 226014960