Search a number
-
+
422210016 = 25331074567
BaseRepresentation
bin11001001010100…
…110100111100000
31002102110111021000
4121022212213200
51331041210031
6105521232000
713314503664
oct3112464740
91072414230
10422210016
111a73656a8
12b9492600
1369619917
14401068a4
15270ee3e6
hex192a69e0

422210016 has 96 divisors (see below), whose sum is σ = 1243226880. Its totient is φ = 139390848.

The previous prime is 422210003. The next prime is 422210017. The reversal of 422210016 is 610012224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4222100162 = 356522595221440512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90165 + ... + 94731.

It is an arithmetic number, because the mean of its divisors is an integer number (12950280).

Almost surely, 2422210016 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 422210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621613440).

422210016 is an abundant number, since it is smaller than the sum of its proper divisors (821016864).

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

422210016 is a wasteful number, since it uses less digits than its factorization.

422210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 422210016 is about 20547.7496578092. The cubic root of 422210016 is about 750.1984754720.

The spelling of 422210016 in words is "four hundred twenty-two million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1712 1926 2568 2889 3424 3852 4567 5136 5778 7704 9134 10272 11556 13701 15408 18268 23112 27402 30816 36536 41103 46224 54804 73072 82206 92448 109608 123309 146144 164412 219216 246618 328824 438432 488669 493236 657648 977338 986472 1315296 1466007 1954676 1972944 2932014 3909352 3945888 4398021 5864028 7818704 8796042 11728056 13194063 15637408 17592084 23456112 26388126 35184168 46912224 52776252 70368336 105552504 140736672 211105008 422210016