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422340224232 = 233292576833457
BaseRepresentation
bin1100010010101010111…
…00000110010011101000
31111101010121122100101010
412021111130012103220
523404423044133412
6522004224423520
742340661450043
oct6112534062350
91441117570333
10422340224232
11153128056533
1269a28a77ba0
1330a98b02a34
14166271c7c5a
15aebcd2e33c
hex62557064e8

422340224232 has 128 divisors (see below), whose sum is σ = 1098432316800. Its totient is φ = 135159349248.

The previous prime is 422340224227. The next prime is 422340224237. The reversal of 422340224232 is 232422043224.

It is an interprime number because it is at equal distance from previous prime (422340224227) and next prime (422340224237).

It is a self number, because there is not a number n which added to its sum of digits gives 422340224232.

It is not an unprimeable number, because it can be changed into a prime (422340224237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122167848 + ... + 122171304.

It is an arithmetic number, because the mean of its divisors is an integer number (8581502475).

Almost surely, 2422340224232 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 422340224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549216158400).

422340224232 is an abundant number, since it is smaller than the sum of its proper divisors (676092092568).

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

422340224232 is a wasteful number, since it uses less digits than its factorization.

422340224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 422340224232 its reverse (232422043224), we get a palindrome (654762267456).

The spelling of 422340224232 in words is "four hundred twenty-two billion, three hundred forty million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 257 348 514 683 696 771 1028 1366 1542 2049 2056 2732 3084 3457 4098 5464 6168 6914 7453 8196 10371 13828 14906 16392 19807 20742 22359 27656 29812 39614 41484 44718 59421 59624 79228 82968 89436 100253 118842 158456 175531 178872 200506 237684 300759 351062 401012 475368 526593 601518 702124 802024 888449 1053186 1203036 1404248 1776898 2106372 2361131 2406072 2665347 3553796 4212744 4722262 5090399 5330694 7083393 7107592 9444524 10180798 10661388 14166786 15271197 18889048 20361596 21322776 25765021 28333572 30542394 40723192 51530042 56667144 61084788 68472799 77295063 103060084 122169576 136945598 154590126 205418397 206120168 273891196 309180252 410836794 547782392 606810667 618360504 821673588 1213621334 1643347176 1820432001 2427242668 3640864002 4854485336 7281728004 14563456008 17597509343 35195018686 52792528029 70390037372 105585056058 140780074744 211170112116 422340224232