Search a number
-
+
1226076216 = 233471139619
BaseRepresentation
bin100100100010100…
…0111000000111000
310011110002010101020
41021011013000320
510002333414331
6321355022440
742245322141
oct11105070070
93143063336
101226076216
1157a0a7232
122a273aa20
131670244b1
14b8b9aac8
157298bc96
hex49147038

1226076216 has 64 divisors (see below), whose sum is σ = 3158438400. Its totient is φ = 396415488.

The previous prime is 1226076211. The next prime is 1226076221. The reversal of 1226076216 is 6126706221.

It is an interprime number because it is at equal distance from previous prime (1226076211) and next prime (1226076221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226076211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122655 + ... + 132273.

It is an arithmetic number, because the mean of its divisors is an integer number (49350600).

Almost surely, 21226076216 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 1226076216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579219200).

1226076216 is an abundant number, since it is smaller than the sum of its proper divisors (1932362184).

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

1226076216 is a wasteful number, since it uses less digits than its factorization.

1226076216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1226076216 is about 35015.3711389727. The cubic root of 1226076216 is about 1070.3007324251.

The spelling of 1226076216 in words is "one billion, two hundred twenty-six million, seventy-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 113 141 188 226 282 339 376 452 564 678 904 1128 1356 2712 5311 9619 10622 15933 19238 21244 28857 31866 38476 42488 57714 63732 76952 115428 127464 230856 452093 904186 1086947 1356279 1808372 2173894 2712558 3260841 3616744 4347788 5425116 6521682 8695576 10850232 13043364 26086728 51086509 102173018 153259527 204346036 306519054 408692072 613038108 1226076216