Search a number
-
+
404222202216 = 233271381580759
BaseRepresentation
bin1011110000111011000…
…01010101000101101000
31102122100221101110120200
411320131201111011220
523110321340432331
6505410324352200
741130001012320
oct5703541250550
91378327343520
10404222202216
1114647a993418
1266411245660
132c16c2bb951
14157c8c38280
15a7ac4115e6
hex5e1d855168

404222202216 has 96 divisors (see below), whose sum is σ = 1252072099200. Its totient is φ = 115408229760.

The previous prime is 404222202203. The next prime is 404222202227. The reversal of 404222202216 is 612202222404.

404222202216 is a `hidden beast` number, since 4 + 0 + 422 + 2 + 20 + 2 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 404222202216.

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, 405645 + ... + 986403.

It is an arithmetic number, because the mean of its divisors is an integer number (13042417700).

Almost surely, 2404222202216 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 404222202216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626036049600).

404222202216 is an abundant number, since it is smaller than the sum of its proper divisors (847849896984).

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

404222202216 is a wasteful number, since it uses less digits than its factorization.

404222202216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582159 (or 582152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 404222202216 in words is "four hundred four billion, two hundred twenty-two million, two hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1381 2762 4143 5524 8286 9667 11048 12429 16572 19334 24858 29001 33144 38668 49716 58002 77336 87003 99432 116004 174006 232008 348012 580759 696024 1161518 1742277 2323036 3484554 4065313 4646072 5226831 6969108 8130626 10453662 12195939 13938216 16261252 20907324 24391878 32522504 36587817 41814648 48783756 73175634 97567512 146351268 292702536 802028179 1604056358 2406084537 3208112716 4812169074 5614197253 6416225432 7218253611 9624338148 11228394506 14436507222 16842591759 19248676296 22456789012 28873014444 33685183518 44913578024 50527775277 57746028888 67370367036 101055550554 134740734072 202111101108 404222202216