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9226742040 = 23325312573217
BaseRepresentation
bin10001001011111010…
…01110100100011000
3212211000202001121200
420211331032210120
5122344021221130
64123321034200
7444435004365
oct104575164430
925730661550
109226742040
113a0528994a
121956025960
13b4073b699
1463759946c
15390069760
hex225f4e918

9226742040 has 192 divisors, whose sum is σ = 31084335360. Its totient is φ = 2371092480.

The previous prime is 9226742033. The next prime is 9226742047. The reversal of 9226742040 is 402476229.

9226742040 is a `hidden beast` number, since 9 + 226 + 7 + 420 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9226742033) and next prime (9226742047).

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 = 9226741986 and 9226742004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9226742047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2866512 + ... + 2869728.

It is an arithmetic number, because the mean of its divisors is an integer number (161897580).

Almost surely, 29226742040 is an apocalyptic number.

9226742040 is a gapful number since it is divisible by the number (90) 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 9226742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542167680).

9226742040 is an abundant number, since it is smaller than the sum of its proper divisors (21857593320).

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

9226742040 is a wasteful number, since it uses less digits than its factorization.

9226742040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 9226742040 is about 96055.9318314075. The cubic root of 9226742040 is about 2097.4073855657.

The spelling of 9226742040 in words is "nine billion, two hundred twenty-six million, seven hundred forty-two thousand, forty".