[go: up one dir, main page]

Search a number
-
+
1226304024 = 23311237101113
BaseRepresentation
bin100100100010111…
…1110101000011000
310011110111200212120
41021011332220120
510002413212044
6321403541240
742250261251
oct11105765030
93143450776
101226304024
1157a242400
122a282a820
131670a40aa
14b8c19b28
15729d4519
hex4917ea18

1226304024 has 192 divisors, whose sum is σ = 3526074720. Its totient is φ = 354816000.

The previous prime is 1226304007. The next prime is 1226304049. The reversal of 1226304024 is 4204036221.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 1226303985 and 1226304003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10852192 + ... + 10852304.

Almost surely, 21226304024 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 1226304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763037360).

1226304024 is an abundant number, since it is smaller than the sum of its proper divisors (2299770696).

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

1226304024 is a wasteful number, since it uses less digits than its factorization.

1226304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1226304024 is about 35018.6239592592. The cubic root of 1226304024 is about 1070.3670164963.

The spelling of 1226304024 in words is "one billion, two hundred twenty-six million, three hundred four thousand, twenty-four".