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225055274040 = 233351012063213
BaseRepresentation
bin1101000110011001010…
…1101111010000111000
3210111220111012111001000
43101212111233100320
512141403122232130
6251220003325000
722155036160122
oct3214625572070
9714814174030
10225055274040
1187499920453
123774a680760
13182b813950c
14ac6d936212
155cc2e14260
hex346656f438

225055274040 has 128 divisors (see below), whose sum is σ = 757612180800. Its totient is φ = 59420505600.

The previous prime is 225055274033. The next prime is 225055274057. The reversal of 225055274040 is 40472550522.

225055274040 is a `hidden beast` number, since 2 + 2 + 50 + 5 + 527 + 40 + 40 = 666.

225055274040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225055273986 and 225055274004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922527 + ... + 1140686.

Almost surely, 2225055274040 is an apocalyptic number.

225055274040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225055274040 is an abundant number, since it is smaller than the sum of its proper divisors (532556906760).

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

225055274040 is a wasteful number, since it uses less digits than its factorization.

225055274040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063334 (or 2063324 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 225055274040 in words is "two hundred twenty-five billion, fifty-five million, two hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1212 1515 1818 2020 2424 2727 3030 3636 4040 4545 5454 6060 7272 9090 10908 12120 13635 18180 21816 27270 36360 54540 109080 2063213 4126426 6189639 8252852 10316065 12379278 16505704 18568917 20632130 24758556 30948195 37137834 41264260 49517112 55706751 61896390 74275668 82528520 92844585 111413502 123792780 148551336 185689170 208384513 222827004 247585560 278533755 371378340 416769026 445654008 557067510 625153539 742756680 833538052 1041922565 1114135020 1250307078 1667076104 1875460617 2083845130 2228270040 2500614156 3125767695 3750921234 4167690260 5001228312 5626381851 6251535390 7501842468 8335380520 9377303085 11252763702 12503070780 15003684936 18754606170 22505527404 25006141560 28131909255 37509212340 45011054808 56263818510 75018424680 112527637020 225055274040