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1226849536 = 28111912281
BaseRepresentation
bin100100100100000…
…0011110100000000
310011111112102011201
41021020003310000
510003033141121
6321423350544
742255022543
oct11110036400
93144472151
101226849536
1157a585240
122a2a52454
13167235493
14b8d1c85a
1572a90e91
hex49203d00

1226849536 has 72 divisors (see below), whose sum is σ = 2686699008. Its totient is φ = 554496000.

The previous prime is 1226849531. The next prime is 1226849543. The reversal of 1226849536 is 6359486221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226849531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536716 + ... + 538996.

It is an arithmetic number, because the mean of its divisors is an integer number (37315264).

Almost surely, 21226849536 is an apocalyptic number.

1226849536 is a gapful number since it is divisible by the number (16) 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 1226849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343349504).

1226849536 is an abundant number, since it is smaller than the sum of its proper divisors (1459849472).

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

1226849536 is a wasteful number, since it uses less digits than its factorization.

1226849536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2485 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 1226849536 is about 35026.4119772494. The cubic root of 1226849536 is about 1070.5257078380.

The spelling of 1226849536 in words is "one billion, two hundred twenty-six million, eight hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 256 352 382 704 764 1408 1528 2101 2281 2816 3056 4202 4562 6112 8404 9124 12224 16808 18248 24448 25091 33616 36496 48896 50182 67232 72992 100364 134464 145984 200728 268928 291968 401456 435671 537856 583936 802912 871342 1605824 1742684 3211648 3485368 4792381 6423296 6970736 9584762 13941472 19169524 27882944 38339048 55765888 76678096 111531776 153356192 306712384 613424768 1226849536