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226353420 = 223353711329
BaseRepresentation
bin11010111110111…
…10000100001100
3120202220221112000
431133132010030
5430421302140
634243312300
75415654336
oct1537360414
9522827460
10226353420
11106852747
126397b690
1337b83547
14220c2456
1514d12a30
hexd7de10c

226353420 has 96 divisors (see below), whose sum is σ = 723307200. Its totient is φ = 58724352.

The previous prime is 226353401. The next prime is 226353427. The reversal of 226353420 is 24353622.

226353420 is a `hidden beast` number, since 2 + 2 + 635 + 3 + 4 + 20 = 666.

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 (226353427) 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, 14316 + ... + 25644.

It is an arithmetic number, because the mean of its divisors is an integer number (7534450).

Almost surely, 2226353420 is an apocalyptic number.

226353420 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 226353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361653600).

226353420 is an abundant number, since it is smaller than the sum of its proper divisors (496953780).

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

226353420 is a wasteful number, since it uses less digits than its factorization.

226353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 226353420 is about 15045.0463608458. The cubic root of 226353420 is about 609.4372845212.

The spelling of 226353420 in words is "two hundred twenty-six million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 11329 19980 22658 33987 45316 56645 67974 101961 113290 135948 169935 203922 226580 305883 339870 407844 419173 509805 611766 679740 838346 1019610 1223532 1257519 1529415 1676692 2039220 2095865 2515038 3058830 3772557 4191730 5030076 6117660 6287595 7545114 8383460 11317671 12575190 15090228 18862785 22635342 25150380 37725570 45270684 56588355 75451140 113176710 226353420