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422233434 = 232797179193
BaseRepresentation
bin11001001010101…
…100010101011010
31002102111200101100
4121022230111122
51331042432214
6105521532230
713314632160
oct3112542532
91072450340
10422233434
111a7381257
12b94a4076
136962748c
1440111230
1527106309
hex192ac55a

422233434 has 96 divisors (see below), whose sum is σ = 1067713920. Its totient is φ = 118112256.

The previous prime is 422233421. The next prime is 422233439. The reversal of 422233434 is 434332224.

422233434 is a `hidden beast` number, since 4 + 2 + 223 + 3 + 434 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 422233398 and 422233407.

It is not an unprimeable number, because it can be changed into a prime (422233439) 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, 2187642 + ... + 2187834.

It is an arithmetic number, because the mean of its divisors is an integer number (11122020).

Almost surely, 2422233434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422233434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533856960).

422233434 is an abundant number, since it is smaller than the sum of its proper divisors (645480486).

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

422233434 is a wasteful number, since it uses less digits than its factorization.

422233434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 422233434 is about 20548.3194933308. The cubic root of 422233434 is about 750.2123452070.

Adding to 422233434 its reverse (434332224), we get a palindrome (856565658).

The spelling of 422233434 in words is "four hundred twenty-two million, two hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 179 193 194 291 358 386 537 579 582 679 873 1074 1158 1253 1351 1358 1611 1737 1746 2037 2506 2702 3222 3474 3759 4053 4074 6111 7518 8106 11277 12159 12222 17363 18721 22554 24318 34547 34726 37442 52089 56163 69094 103641 104178 112326 121541 131047 156267 168489 207282 241829 243082 262094 310923 312534 336978 364623 393141 483658 621846 725487 729246 786282 1093869 1179423 1450974 2176461 2187738 2358846 3351059 4352922 6702118 10053177 20106354 23457413 30159531 46914826 60319062 70372239 140744478 211116717 422233434