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222506689140 = 223259771265249
BaseRepresentation
bin1100111100111001101…
…1101010001001110100
3210021022212120221210200
43033032123222021310
512121143203023030
6250115042320500
722034631436341
oct3171633521164
9707285527720
10222506689140
118640125293a
1237159059130
1317ca0128b08
14aaab2797c8
155bc42dcd60
hex33ce6ea274

222506689140 has 72 divisors (see below), whose sum is σ = 675628317000. Its totient is φ = 59274338304.

The previous prime is 222506689127. The next prime is 222506689147. The reversal of 222506689140 is 41986605222.

222506689140 is a `hidden beast` number, since 2 + 22 + 506 + 6 + 89 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25162842384 + 197343846756 = 158628^2 + 444234^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222506689147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456765 + ... + 808484.

It is an arithmetic number, because the mean of its divisors is an integer number (9383726625).

Almost surely, 2222506689140 is an apocalyptic number.

222506689140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222506689140 is an abundant number, since it is smaller than the sum of its proper divisors (453121627860).

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

222506689140 is a wasteful number, since it uses less digits than its factorization.

222506689140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266241 (or 1266236 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 222506689140 in words is "two hundred twenty-two billion, five hundred six million, six hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 977 1954 2931 3908 4885 5862 8793 9770 11724 14655 17586 19540 29310 35172 43965 58620 87930 175860 1265249 2530498 3795747 5060996 6326245 7591494 11387241 12652490 15182988 18978735 22774482 25304980 37957470 45548964 56936205 75914940 113872410 227744820 1236148273 2472296546 3708444819 4944593092 6180741365 7416889638 11125334457 12361482730 14833779276 18542224095 22250668914 24722965460 37084448190 44501337828 55626672285 74168896380 111253344570 222506689140