Search a number
-
+
1225836234 = 23372479857
BaseRepresentation
bin100100100010000…
…1100011011001010
310011102121221012000
41021010030123022
510002303224414
6321345531430
742243302400
oct11104143312
93142557160
101225836234
11579a529a7
122a2643b76
13166c6c1ac
14b8b37470
1572940b09
hex4910c6ca

1225836234 has 96 divisors (see below), whose sum is σ = 3236578560. Its totient is φ = 342752256.

The previous prime is 1225836181. The next prime is 1225836257. The reversal of 1225836234 is 4326385221.

1225836234 is a `hidden beast` number, since 1 + 2 + 25 + 8 + 3 + 623 + 4 = 666.

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, 119434 + ... + 129290.

It is an arithmetic number, because the mean of its divisors is an integer number (33714360).

Almost surely, 21225836234 is an apocalyptic number.

1225836234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225836234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618289280).

1225836234 is an abundant number, since it is smaller than the sum of its proper divisors (2010742326).

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

1225836234 is a wasteful number, since it uses less digits than its factorization.

1225836234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9929 (or 9916 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1225836234 is about 35011.9441619571. The cubic root of 1225836234 is about 1070.2308972694.

The spelling of 1225836234 in words is "one billion, two hundred twenty-five million, eight hundred thirty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 49 54 63 94 98 126 141 147 189 282 294 329 378 423 441 658 846 882 987 1269 1323 1974 2303 2538 2646 2961 4606 5922 6909 8883 9857 13818 17766 19714 20727 29571 41454 59142 62181 68999 88713 124362 137998 177426 206997 266139 413994 463279 482993 532278 620991 926558 965986 1241982 1389837 1448979 1862973 2779674 2897958 3242953 3725946 4169511 4346937 6485906 8339022 8693874 9728859 12508533 13040811 19457718 22700671 25017066 26081622 29186577 45401342 58373154 68102013 87559731 136204026 175119462 204306039 408612078 612918117 1225836234