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422084432 = 247211172879
BaseRepresentation
bin11001001010000…
…111111101010000
31002102020002222202
4121022013331100
51331023200212
6105514422332
713313441600
oct3112077520
91072202882
10422084432
111a728a310
12b94319a8
13695a4703
14400b2c00
15270c70c2
hex19287f50

422084432 has 120 divisors (see below), whose sum is σ = 1099215360. Its totient is φ = 154721280.

The previous prime is 422084417. The next prime is 422084447. The reversal of 422084432 is 234480224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422084417) and next prime (422084447).

It is a junction number, because it is equal to n+sod(n) for n = 422084395 and 422084404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145169 + ... + 148047.

It is an arithmetic number, because the mean of its divisors is an integer number (9160128).

Almost surely, 2422084432 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 422084432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607680).

422084432 is an abundant number, since it is smaller than the sum of its proper divisors (677130928).

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

422084432 is a wasteful number, since it uses less digits than its factorization.

422084432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 422084432 is about 20544.6935241196. The cubic root of 422084432 is about 750.1240873205.

The spelling of 422084432 in words is "four hundred twenty-two million, eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 238 272 308 374 392 476 539 616 748 784 833 952 1078 1232 1309 1496 1666 1904 2156 2618 2879 2992 3332 4312 5236 5758 6664 8624 9163 10472 11516 13328 18326 20153 20944 23032 31669 36652 40306 46064 48943 63338 73304 80612 97886 126676 141071 146608 161224 195772 221683 253352 282142 322448 342601 391544 443366 506704 538373 564284 685202 783088 886732 1076746 1128568 1370404 1551781 1773464 2153492 2257136 2398207 2740808 3103562 3546928 3768611 4306984 4796414 5481616 6207124 7537222 8613968 9592828 12414248 15074444 19185656 24828496 26380277 30148888 38371312 52760554 60297776 105521108 211042216 422084432