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402222053400030 = 233514331505369061
BaseRepresentation
bin101101101110100011001111…
…0100111010001110111011110
31221202011001102110202110011000
41123131012132213101313132
5410210001231132300110
63543242132131011130
7150502404305121333
oct13335063647216736
91852131373673130
10402222053400030
11107184462267516
12391413b3a39aa6
13143584b902c106
14714791909a98a
153177aba70b1c0
hex16dd19e9d1dde

402222053400030 has 128 divisors (see below), whose sum is σ = 1073427483623040. Its totient is φ = 107175692436480.

The previous prime is 402222053399993. The next prime is 402222053400031. The reversal of 402222053400030 is 30004350222204.

It is a happy number.

402222053400030 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 220 + 5 + 3 + 400 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 402222053399967 and 402222053400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402222053400031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5824121700 + ... + 5824190760.

It is an arithmetic number, because the mean of its divisors is an integer number (8386152215805).

Almost surely, 2402222053400030 is an apocalyptic number.

402222053400030 is an abundant number, since it is smaller than the sum of its proper divisors (671205430223010).

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

402222053400030 is a wasteful number, since it uses less digits than its factorization.

402222053400030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85563 (or 85557 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The spelling of 402222053400030 in words is "four hundred two trillion, two hundred twenty-two billion, fifty-three million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1433 2866 4299 7165 8598 12897 14330 15053 21495 25794 30106 38691 42990 45159 64485 69061 75265 77382 90318 128970 135477 138122 150530 193455 207183 225795 270954 345305 386910 406431 414366 451590 621549 677385 690610 812862 1035915 1243098 1354770 1864647 2032155 2071830 3107745 3729294 4064310 6215490 9323235 18646470 21570949 43141898 64712847 98964413 107854745 129425694 194138541 197928826 215709490 296893239 323564235 388277082 494822065 582415623 593786478 647128470 890679717 970692705 989644130 1039575233 1164831246 1484466195 1781359434 1941385410 2079150466 2672039151 2912078115 2968932390 3118725699 4453398585 5197876165 5344078302 5824156230 6237451398 8906797170 9356177097 10395752330 13360195755 15593628495 18712354194 26720391510 28068531291 31187256990 46780885485 56137062582 93561770970 140342656455 280685312910 1489711308889 2979422617778 4469133926667 7448556544445 8938267853334 13407401780001 14897113088890 22345669633335 26814803560002 40222205340003 44691339266670 67037008900005 80444410680006 134074017800010 201111026700015 402222053400030