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226655040 = 26352291031
BaseRepresentation
bin11011000001001…
…11101101000000
3120210111021021010
431200213231000
5431010430130
634254000520
75421351603
oct1540475500
9523437233
10226655040
11106a39317
1263aa6140
1337c5a911
142216033a
1514d720b0
hexd827b40

226655040 has 112 divisors (see below), whose sum is σ = 723473280. Its totient is φ = 60119040.

The previous prime is 226655027. The next prime is 226655053. The reversal of 226655040 is 40556622.

It is an interprime number because it is at equal distance from previous prime (226655027) and next prime (226655053).

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

It is a junction number, because it is equal to n+sod(n) for n = 226654989 and 226655007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219325 + ... + 220355.

Almost surely, 2226655040 is an apocalyptic number.

226655040 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 226655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361736640).

226655040 is an abundant number, since it is smaller than the sum of its proper divisors (496818240).

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

226655040 is a wasteful number, since it uses less digits than its factorization.

226655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 226655040 is about 15055.0669211399. The cubic root of 226655040 is about 609.7078597527.

The spelling of 226655040 in words is "two hundred twenty-six million, six hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 229 240 320 458 480 687 916 960 1031 1145 1374 1832 2062 2290 2748 3093 3435 3664 4124 4580 5155 5496 6186 6870 7328 8248 9160 10310 10992 12372 13740 14656 15465 16496 18320 20620 21984 24744 27480 30930 32992 36640 41240 43968 49488 54960 61860 65984 73280 82480 98976 109920 123720 164960 197952 219840 236099 247440 329920 472198 494880 708297 944396 989760 1180495 1416594 1888792 2360990 2833188 3541485 3777584 4721980 5666376 7082970 7555168 9443960 11332752 14165940 15110336 18887920 22665504 28331880 37775840 45331008 56663760 75551680 113327520 226655040