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2204147000 = 2353111511327
BaseRepresentation
bin1000001101100000…
…1001110100111000
312200121111021021002
42003120021310320
514003230201000
61002414304132
7105422640356
oct20330116470
95617437232
102204147000
11a312022a0
125161b8048
132918540c3
1416ca3a7d6
15cd78a8d5
hex83609d38

2204147000 has 128 divisors (see below), whose sum is σ = 5668116480. Its totient is φ = 795600000.

The previous prime is 2204146969. The next prime is 2204147051. The reversal of 2204147000 is 7414022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660337 + ... + 1661663.

It is an arithmetic number, because the mean of its divisors is an integer number (44282160).

Almost surely, 22204147000 is an apocalyptic number.

2204147000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834058240).

2204147000 is an abundant number, since it is smaller than the sum of its proper divisors (3463969480).

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

2204147000 is a wasteful number, since it uses less digits than its factorization.

2204147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2204147000 is about 46948.3439537541. The cubic root of 2204147000 is about 1301.4081388704.

The spelling of 2204147000 in words is "two billion, two hundred four million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 151 200 220 250 275 302 440 500 550 604 755 1000 1100 1208 1327 1375 1510 1661 2200 2654 2750 3020 3322 3775 5308 5500 6040 6635 6644 7550 8305 10616 11000 13270 13288 14597 15100 16610 18875 26540 29194 30200 33175 33220 37750 41525 53080 58388 66350 66440 72985 75500 83050 116776 132700 145970 151000 165875 166100 200377 207625 265400 291940 331750 332200 364925 400754 415250 583880 663500 729850 801508 830500 1001885 1327000 1459700 1603016 1661000 1824625 2003770 2204147 2919400 3649250 4007540 4408294 5009425 7298500 8015080 8816588 10018850 11020735 14597000 17633176 20037700 22041470 25047125 40075400 44082940 50094250 55103675 88165880 100188500 110207350 200377000 220414700 275518375 440829400 551036750 1102073500 2204147000