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226207620 = 223353113513
BaseRepresentation
bin11010111101110…
…10011110000100
3120202122112112000
431132322132010
5430402120440
634240225300
75414506302
oct1536723604
9522575460
10226207620
11106763151
126390b230
1337b32082
1422085272
1514cd4730
hexd7ba784

226207620 has 96 divisors (see below), whose sum is σ = 726512640. Its totient is φ = 58371840.

The previous prime is 226207607. The next prime is 226207621. The reversal of 226207620 is 26702622.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226207621) 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, 9984 + ... + 23496.

It is an arithmetic number, because the mean of its divisors is an integer number (7567840).

Almost surely, 2226207620 is an apocalyptic number.

226207620 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 226207620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363256320).

226207620 is an abundant number, since it is smaller than the sum of its proper divisors (500305020).

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

226207620 is a wasteful number, since it uses less digits than its factorization.

226207620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226207620 is about 15040.2001316472. The cubic root of 226207620 is about 609.3064050599.

The spelling of 226207620 in words is "two hundred twenty-six million, two hundred seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 13513 16740 27026 40539 54052 67565 81078 121617 135130 162156 202695 243234 270260 364851 405390 418903 486468 608085 729702 810780 837806 1216170 1256709 1459404 1675612 1824255 2094515 2432340 2513418 3648510 3770127 4189030 5026836 6283545 7297020 7540254 8378060 11310381 12567090 15080508 18850635 22620762 25134180 37701270 45241524 56551905 75402540 113103810 226207620