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1226366240 = 255111016899
BaseRepresentation
bin100100100011000…
…1101110100100000
310011110121212012212
41021012031310200
510002422204430
6321405141252
742250640531
oct11106156440
93143555185
101226366240
1157a285120
122a285a828
131670c64c8
14b8c34688
15729e7b95
hex4918dd20

1226366240 has 96 divisors (see below), whose sum is σ = 3192436800. Its totient is φ = 441472000.

The previous prime is 1226366209. The next prime is 1226366249. The reversal of 1226366240 is 426636221.

It is a super-2 number, since 2×12263662402 = 3007948309223475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1226366197 and 1226366206.

It is not an unprimeable number, because it can be changed into a prime (1226366249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174311 + ... + 181209.

It is an arithmetic number, because the mean of its divisors is an integer number (33254550).

Almost surely, 21226366240 is an apocalyptic number.

1226366240 is a gapful number since it is divisible by the number (10) 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 1226366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596218400).

1226366240 is an abundant number, since it is smaller than the sum of its proper divisors (1966070560).

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

1226366240 is a wasteful number, since it uses less digits than its factorization.

1226366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1226366240 is about 35019.5122753016. The cubic root of 1226366240 is about 1070.3851177249.

The spelling of 1226366240 in words is "one billion, two hundred twenty-six million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 6899 8080 8888 11110 13798 16160 17776 22220 27596 34495 35552 44440 55192 68990 75889 88880 110384 137980 151778 177760 220768 275960 303556 379445 551920 607112 696799 758890 1103840 1214224 1393598 1517780 2428448 2787196 3035560 3483995 5574392 6071120 6967990 7664789 11148784 12142240 13935980 15329578 22297568 27871960 30659156 38323945 55743920 61318312 76647890 111487840 122636624 153295780 245273248 306591560 613183120 1226366240