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422625246384 = 2431131179144247
BaseRepresentation
bin1100010011001100110…
…11010111110010110000
31111101212110221222021010
412021212123113302300
523411014030341014
6522052405430520
742351022215315
oct6114633276260
91441773858233
10422625246384
11153263a2a930
1269aa840b440
1330b12b882b3
1416652dbcd0c
15aed7d80359
hex62666d7cb0

422625246384 has 160 divisors (see below), whose sum is σ = 1236332298240. Its totient is φ = 123243782400.

The previous prime is 422625246367. The next prime is 422625246403. The reversal of 422625246384 is 483642526224.

It is a super-2 number, since 2×4226252463842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2857749 + ... + 3001995.

It is an arithmetic number, because the mean of its divisors is an integer number (7727076864).

Almost surely, 2422625246384 is an apocalyptic number.

422625246384 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 422625246384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618166149120).

422625246384 is an abundant number, since it is smaller than the sum of its proper divisors (813707051856).

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

422625246384 is a wasteful number, since it uses less digits than its factorization.

422625246384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144479 (or 144473 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 422625246384 in words is "four hundred twenty-two billion, six hundred twenty-five million, two hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 179 186 248 264 341 358 372 496 528 537 682 716 744 1023 1074 1364 1432 1488 1969 2046 2148 2728 2864 3938 4092 4296 5456 5549 5907 7876 8184 8592 11098 11814 15752 16368 16647 22196 23628 31504 33294 44392 47256 61039 66588 88784 94512 122078 133176 144247 183117 244156 266352 288494 366234 432741 488312 576988 732468 865482 976624 1153976 1464936 1586717 1730964 2307952 2929872 3173434 3461928 4471657 4760151 6346868 6923856 8943314 9520302 12693736 13414971 17886628 19040604 25387472 25820213 26829942 35773256 38081208 49188227 51640426 53659884 71546512 76162416 77460639 98376454 103280852 107319768 147564681 154921278 196752908 206561704 214639536 284022343 295129362 309842556 393505816 413123408 568044686 590258724 619685112 787011632 800426603 852067029 1136089372 1180517448 1239370224 1600853206 1704134058 2272178744 2361034896 2401279809 3201706412 3408268116 4544357488 4802559618 6403412824 6816536232 8804692633 9605119236 12806825648 13633072464 17609385266 19210238472 26414077899 35218770532 38420476944 52828155798 70437541064 105656311596 140875082128 211312623192 422625246384