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422022528 = 2733196427
BaseRepresentation
bin11001001001111…
…000110110000000
31002102002222002000
4121021320312000
51331014210103
6105513224000
713313063244
oct3111706600
91072088060
10422022528
111a7247854
12b9402000
1369582495
1440098424
15270b3aa3
hex19278d80

422022528 has 128 divisors (see below), whose sum is σ = 1311312000. Its totient is φ = 133249536.

The previous prime is 422022521. The next prime is 422022539. The reversal of 422022528 is 825220224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422022521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62451 + ... + 68877.

It is an arithmetic number, because the mean of its divisors is an integer number (10244625).

Almost surely, 2422022528 is an apocalyptic number.

422022528 is a gapful number since it is divisible by the number (48) 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 422022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655656000).

422022528 is an abundant number, since it is smaller than the sum of its proper divisors (889289472).

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

422022528 is a wasteful number, since it uses less digits than its factorization.

422022528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 422022528 is about 20543.1868997972. The cubic root of 422022528 is about 750.0874138114.

The spelling of 422022528 in words is "four hundred twenty-two million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 6427 7296 8208 10944 12854 16416 19281 21888 25708 32832 38562 51416 57843 65664 77124 102832 115686 122113 154248 173529 205664 231372 244226 308496 347058 366339 411328 462744 488452 616992 694116 732678 822656 925488 976904 1099017 1233984 1388232 1465356 1850976 1953808 2198034 2467968 2776464 2930712 3297051 3701952 3907616 4396068 5552928 5861424 6594102 7403904 7815232 8792136 11105856 11722848 13188204 15630464 17584272 22211712 23445696 26376408 35168544 46891392 52752816 70337088 105505632 140674176 211011264 422022528