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1226080284 = 22311131136323
BaseRepresentation
bin100100100010100…
…1000000000011100
310011110002022221220
41021011020000130
510002334032114
6321355053340
742245340042
oct11105100034
93143068856
101226080284
1157a0aa2a0
122a2741250
131670262c0
14b8b9c392
157298d0a9
hex4914801c

1226080284 has 96 divisors (see below), whose sum is σ = 3391282944. Its totient is φ = 339870720.

The previous prime is 1226080283. The next prime is 1226080301. The reversal of 1226080284 is 4820806221.

It is a happy number.

It is a super-3 number, since 3×12260802843 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226080283) 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, 190747 + ... + 197069.

It is an arithmetic number, because the mean of its divisors is an integer number (35325864).

Almost surely, 21226080284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226080284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695641472).

1226080284 is an abundant number, since it is smaller than the sum of its proper divisors (2165202660).

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

1226080284 is a wasteful number, since it uses less digits than its factorization.

1226080284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1226080284 is about 35015.4292276990. The cubic root of 1226080284 is about 1070.3019161412.

The spelling of 1226080284 in words is "one billion, two hundred twenty-six million, eighty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 113 132 143 156 226 286 339 429 452 572 678 858 1243 1356 1469 1716 2486 2938 3729 4407 4972 5876 6323 7458 8814 12646 14916 16159 17628 18969 25292 32318 37938 48477 64636 69553 75876 82199 96954 139106 164398 193908 208659 246597 278212 328796 417318 493194 714499 834636 904189 986388 1428998 1808378 2143497 2712567 2857996 3616756 4286994 5425134 7859489 8573988 9288487 10850268 15718978 18576974 23578467 27865461 31437956 37153948 47156934 55730922 94313868 102173357 111461844 204346714 306520071 408693428 613040142 1226080284