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1226139840 = 26325439901
BaseRepresentation
bin100100100010101…
…0110100011000000
310011110012100122200
41021011112203000
510002342433330
6321400233200
742246005502
oct11105264300
93143170580
101226139840
1157a140012
122a276b800
13167047443
14b8bb5d72
15729a0a60
hex491568c0

1226139840 has 168 divisors, whose sum is σ = 4315925328. Its totient is φ = 319334400.

The previous prime is 1226139799. The next prime is 1226139851. The reversal of 1226139840 is 489316221.

1226139840 is a `hidden beast` number, since 1 + 2 + 261 + 398 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1226139795 and 1226139804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118890 + ... + 128790.

Almost surely, 21226139840 is an apocalyptic number.

1226139840 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 1226139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157962664).

1226139840 is an abundant number, since it is smaller than the sum of its proper divisors (3089785488).

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

1226139840 is a wasteful number, since it uses less digits than its factorization.

1226139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1226139840 is about 35016.2796424749. The cubic root of 1226139840 is about 1070.3192455852.

The spelling of 1226139840 in words is "one billion, two hundred twenty-six million, one hundred thirty-nine thousand, eight hundred forty".