Search a number
-
+
22003144200 = 23325217719057
BaseRepresentation
bin10100011111011111…
…010101011000001000
32002210102210112111200
4110133133111120020
5330030301103300
614035203424200
71406154432312
oct243737253010
962712715450
1022003144200
1193712239a4
124320985060
1320c86b316b
1410ca35c7b2
1588ba50200
hex51f7d5608

22003144200 has 144 divisors (see below), whose sum is σ = 78240700980. Its totient is φ = 5522350080.

The previous prime is 22003144159. The next prime is 22003144231. The reversal of 22003144200 is 244130022.

22003144200 is a `hidden beast` number, since 220 + 0 + 3 + 1 + 442 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12253161636 + 9749982564 = 110694^2 + 98742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328929 + ... + 390128.

Almost surely, 222003144200 is an apocalyptic number.

22003144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22003144200 is an abundant number, since it is smaller than the sum of its proper divisors (56237556780).

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

22003144200 is a wasteful number, since it uses less digits than its factorization.

22003144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719096 (or 719084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22003144200 its reverse (244130022), we get a palindrome (22247274222).

The spelling of 22003144200 in words is "twenty-two billion, three million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 719057 1438114 2157171 2876228 3595285 4314342 5752456 6471513 7190570 8628684 10785855 12223969 12943026 14381140 17257368 17976425 21571710 24447938 25886052 28762280 32357565 35952850 36671907 43143420 48895876 51772104 53929275 61119845 64715130 71905700 73343814 86286840 97791752 107858550 110015721 122239690 129430260 143811400 146687628 161787825 183359535 215717100 220031442 244479380 258860520 293375256 305599225 323575650 366719070 431434200 440062884 488958760 550078605 611198450 647151300 733438140 880125768 916797675 1100157210 1222396900 1294302600 1466876280 1833595350 2200314420 2444793800 2750393025 3667190700 4400628840 5500786050 7334381400 11001572100 22003144200