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422320200324 = 2231167121339367
BaseRepresentation
bin1100010010101000011…
…11101101101010000100
31111101002012222000201220
412021110033231222010
523404402432402244
6522002231320340
742340326321231
oct6112417555204
91441065860656
10422320200324
1115311781a250
1269a222200b0
1330a94911779
1416624694788
15aebb1c6319
hex62543eda84

422320200324 has 96 divisors (see below), whose sum is σ = 1091968797696. Its totient is φ = 125958602880.

The previous prime is 422320200317. The next prime is 422320200371. The reversal of 422320200324 is 423002023224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422320200294 and 422320200303.

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, 10708089 + ... + 10747455.

It is an arithmetic number, because the mean of its divisors is an integer number (11374674976).

Almost surely, 2422320200324 is an apocalyptic number.

422320200324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422320200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545984398848).

422320200324 is an abundant number, since it is smaller than the sum of its proper divisors (669648597372).

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

422320200324 is a wasteful number, since it uses less digits than its factorization.

422320200324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40665 (or 40663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 422320200324 its reverse (423002023224), we get a palindrome (845322223548).

The spelling of 422320200324 in words is "four hundred twenty-two billion, three hundred twenty million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1213 1474 2211 2426 2948 3639 4422 4852 7278 8844 13343 14556 26686 39367 40029 53372 78734 80058 81271 118101 157468 160116 162542 236202 243813 325084 433037 472404 487626 866074 893981 975252 1299111 1732148 1787962 2598222 2637589 2681943 3575924 5196444 5275178 5363886 7912767 10550356 10727772 15825534 29013479 31651068 47752171 58026958 87040437 95504342 116053916 143256513 174080874 191008684 286513026 348161748 525273881 573026052 1050547762 1575821643 2101095524 3151643286 3199395457 6303286572 6398790914 9598186371 12797581828 19196372742 35193350027 38392745484 70386700054 105580050081 140773400108 211160100162 422320200324