Search a number
-
+
422015013200 = 245211634315121
BaseRepresentation
bin1100010010000100000…
…11100001000101010000
31111100021221200220201002
412021002003201011100
523403241320410300
6521512050201132
742326632265654
oct6110203410520
91440257626632
10422015013200
11152a80522690
1269957b831a8
1330a46618981
14165d5d30a64
15ae9e4e05d5
hex62420e1150

422015013200 has 120 divisors (see below), whose sum is σ = 1106310518976. Its totient is φ = 153425664000.

The previous prime is 422015013193. The next prime is 422015013271. The reversal of 422015013200 is 2310510224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 27901640 + ... + 27916760.

Almost surely, 2422015013200 is an apocalyptic number.

422015013200 is a gapful number since it is divisible by the number (40) 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 422015013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553155259488).

422015013200 is an abundant number, since it is smaller than the sum of its proper divisors (684295505776).

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

422015013200 is a wasteful number, since it uses less digits than its factorization.

422015013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21493 (or 21482 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 422015013200 its reverse (2310510224), we get a palindrome (424325523424).

The spelling of 422015013200 in words is "four hundred twenty-two billion, fifteen million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 6343 12686 15121 25372 30242 31715 50744 60484 63430 69773 75605 101488 120968 126860 139546 151210 158575 166331 241936 253720 279092 302420 317150 332662 348865 378025 507440 558184 604840 634300 665324 697730 756050 831655 1116368 1209680 1268600 1330648 1395460 1512100 1663310 1744325 2537200 2661296 2790920 3024200 3326620 3488650 4158275 5581840 6048400 6653240 6977300 8316550 13306480 13954600 16633100 27909200 33266200 66532400 95912503 191825006 383650012 479562515 767300024 959125030 1055037533 1534600048 1918250060 2110075066 2397812575 3836500120 4220150132 4795625150 5275187665 7673000240 8440300264 9591250300 10550375330 16880600528 19182500600 21100750660 26375938325 38365001200 42201501320 52751876650 84403002640 105503753300 211007506600 422015013200