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201402223104 = 293417334363
BaseRepresentation
bin1011101110010010000…
…0100000101000000000
3201020212001210222222110
42323210200200220000
511244432432114404
6232304540335320
720356635436005
oct2734440405000
9636761728873
10201402223104
1178461339175
1233049244540
1315cb89987a4
149a684118ac
15538b607b89
hex2ee4820a00

201402223104 has 160 divisors (see below), whose sum is σ = 550510640064. Its totient is φ = 65392312320.

The previous prime is 201402223051. The next prime is 201402223111. The reversal of 201402223104 is 401322204102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46159227 + ... + 46163589.

Almost surely, 2201402223104 is an apocalyptic number.

201402223104 is a gapful number since it is divisible by the number (24) 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 201402223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275255320032).

201402223104 is an abundant number, since it is smaller than the sum of its proper divisors (349108416960).

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

201402223104 is an equidigital number, since it uses as much as digits as its factorization.

201402223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201402223104 its reverse (401322204102), we get a palindrome (602724427206).

The spelling of 201402223104 in words is "two hundred one billion, four hundred two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 733 768 984 1312 1466 1536 1968 2199 2624 2932 3936 4363 4398 5248 5864 7872 8726 8796 10496 11728 13089 15744 17452 17592 20992 23456 26178 30053 31488 34904 35184 46912 52356 60106 62976 69808 70368 90159 93824 104712 120212 139616 140736 178883 180318 187648 209424 240424 279232 281472 357766 360636 375296 418848 480848 536649 558464 562944 715532 721272 837696 961696 1073298 1116928 1125888 1431064 1442544 1675392 1923392 2146596 2233856 2862128 2885088 3198079 3350784 3846784 4293192 5724256 5770176 6396158 6701568 7693568 8586384 9594237 11448512 11540352 12792316 15387136 17172768 19188474 22897024 23080704 25584632 34345536 38376948 45794048 46161408 51169264 68691072 76753896 91588096 102338528 131121239 137382144 153507792 204677056 262242478 274764288 307015584 393363717 409354112 524484956 614031168 786727434 818708224 1048969912 1228062336 1573454868 1637416448 2097939824 2456124672 3146909736 4195879648 4912249344 6293819472 8391759296 12587638944 16783518592 25175277888 33567037184 50350555776 67134074368 100701111552 201402223104