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422312024442 = 2371115727721019
BaseRepresentation
bin1100010010100111100…
…00100001100101111010
31111101001122120122112110
412021103300201211322
523404343334240232
6522001340153150
742340166656650
oct6112360414572
91441048518473
10422312024442
11153113145620
1269a1b5387b6
1330a9300b279
1416623566dd0
15aeba60dacc
hex6253c2197a

422312024442 has 128 divisors (see below), whose sum is σ = 1063621416960. Its totient is φ = 108594120960.

The previous prime is 422312024411. The next prime is 422312024471. The reversal of 422312024442 is 244420213224.

It is a happy number.

It is a super-2 number, since 2×4223120244422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20081409 + ... + 20102427.

It is an arithmetic number, because the mean of its divisors is an integer number (8309542320).

Almost surely, 2422312024442 is an apocalyptic number.

422312024442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 422312024442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531810708480).

422312024442 is an abundant number, since it is smaller than the sum of its proper divisors (641309392518).

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

422312024442 is a wasteful number, since it uses less digits than its factorization.

422312024442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21476.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 422312024442 its reverse (244420213224), we get a palindrome (666732237666).

The spelling of 422312024442 in words is "four hundred twenty-two billion, three hundred twelve million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 157 231 277 314 462 471 554 831 942 1099 1662 1727 1939 2198 3047 3297 3454 3878 5181 5817 6094 6594 9141 10362 11634 12089 18282 21019 21329 24178 36267 42038 42658 43489 63057 63987 72534 86978 126114 127974 130467 147133 231209 260934 294266 304423 441399 462418 478379 608846 693627 882798 913269 956758 1387254 1435137 1618463 1826538 2870274 3236926 3299983 3348653 4855389 5822263 6599966 6697306 9710778 9899949 10045959 11644526 17466789 19799898 20091918 23099881 34933578 36299813 40755841 46199762 64044893 69299643 72599626 81511682 108899439 122267523 128089786 138599286 192134679 217798878 244535046 254098691 384269358 448314251 508197382 762296073 896628502 914095291 1344942753 1524592146 1828190582 2689885506 2742285873 5484571746 6398667037 10055048201 12797334074 19196001111 20110096402 30165144603 38392002222 60330289206 70385337407 140770674814 211156012221 422312024442