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2422463004 = 22331313113171
BaseRepresentation
bin1001000001100011…
…1101101000011100
320020211021212112000
42100120331220130
514430122304004
61040213442300
7114013411233
oct22030755034
96224255460
102422463004
111033465345
12577340390
132c7b52180
1418da29b1a
15e2a11c39
hex9063da1c

2422463004 has 96 divisors (see below), whose sum is σ = 6815719680. Its totient is φ = 739627200.

The previous prime is 2422462993. The next prime is 2422463011. The reversal of 2422463004 is 4003642242.

2422463004 is a `hidden beast` number, since 2 + 4 + 2 + 24 + 630 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177339 + ... + 190509.

It is an arithmetic number, because the mean of its divisors is an integer number (70997080).

Almost surely, 22422463004 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 2422463004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407859840).

2422463004 is an abundant number, since it is smaller than the sum of its proper divisors (4393256676).

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

2422463004 is a wasteful number, since it uses less digits than its factorization.

2422463004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2422463004 is about 49218.5229766193. The cubic root of 2422463004 is about 1343.0300120055.

The spelling of 2422463004 in words is "two billion, four hundred twenty-two million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 524 702 786 1179 1404 1572 1703 2358 3406 3537 4716 5109 6812 7074 10218 13171 14148 15327 20436 26342 30654 39513 45981 52684 61308 79026 91962 118539 158052 171223 183924 237078 342446 355617 474156 513669 684892 711234 1027338 1422468 1541007 1725401 2054676 3082014 3450802 4623021 5176203 6164028 6901604 9246042 10352406 15528609 18492084 20704812 22430213 31057218 44860426 46585827 62114436 67290639 89720852 93171654 134581278 186343308 201871917 269162556 403743834 605615751 807487668 1211231502 2422463004