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222013413540 = 22345137045317
BaseRepresentation
bin1100111011000100000…
…1111101100010100100
3210020001111101221220000
43032301001331202210
512114140413213130
6245554101541300
722016461610142
oct3166101754244
9706044357800
10222013413540
1186178869656
123703ba14830
1317c21b89669
14aa61954592
155b95d52260
hex33b107d8a4

222013413540 has 60 divisors (see below), whose sum is σ = 696464306076. Its totient is φ = 59203576512.

The previous prime is 222013413529. The next prime is 222013413541. The reversal of 222013413540 is 45314310222.

222013413540 is a `hidden beast` number, since 2 + 2 + 201 + 3 + 413 + 5 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61872582564 + 160140830976 = 248742^2 + 400176^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (222013413541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68521039 + ... + 68524278.

Almost surely, 2222013413540 is an apocalyptic number.

222013413540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222013413540 is an abundant number, since it is smaller than the sum of its proper divisors (474450892536).

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

222013413540 is a wasteful number, since it uses less digits than its factorization.

222013413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137045338 (or 137045327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 222013413540 its reverse (45314310222), we get a palindrome (267327723762).

The spelling of 222013413540 in words is "two hundred twenty-two billion, thirteen million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 137045317 274090634 411135951 548181268 685226585 822271902 1233407853 1370453170 1644543804 2055679755 2466815706 2740906340 3700223559 4111359510 4933631412 6167039265 7400447118 8222719020 11100670677 12334078530 14800894236 18501117795 22201341354 24668157060 37002235590 44402682708 55503353385 74004471180 111006706770 222013413540