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2245147700 = 2252414761191
BaseRepresentation
bin1000010111010010…
…0011110000110100
312210110122022122112
42011310203300310
514044224211300
61010441150152
7106431304055
oct20564436064
95713568575
102245147700
11a52366774
12527a8b358
1329a1ab283
1417427072c
15d2188e35
hex85d23c34

2245147700 has 144 divisors (see below), whose sum is σ = 5207666688. Its totient is φ = 839040000.

The previous prime is 2245147699. The next prime is 2245147703. The reversal of 2245147700 is 77415422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245147703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11754605 + ... + 11754795.

It is an arithmetic number, because the mean of its divisors is an integer number (36164352).

Almost surely, 22245147700 is an apocalyptic number.

2245147700 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 2245147700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603833344).

2245147700 is an abundant number, since it is smaller than the sum of its proper divisors (2962518988).

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

2245147700 is a wasteful number, since it uses less digits than its factorization.

2245147700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 2245147700 is about 47382.9895637664. The cubic root of 2245147700 is about 1309.4280470379.

The spelling of 2245147700 in words is "two billion, two hundred forty-five million, one hundred forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 47 50 61 82 94 100 122 164 188 191 205 235 244 305 382 410 470 610 764 820 940 955 1025 1175 1220 1525 1910 1927 2050 2350 2501 2867 3050 3820 3854 4100 4700 4775 5002 5734 6100 7708 7831 8977 9550 9635 10004 11468 11651 12505 14335 15662 17954 19100 19270 23302 25010 28670 31324 35908 38540 39155 44885 46604 48175 50020 57340 58255 62525 71675 78310 89770 96350 116510 117547 125050 143350 156620 179540 192700 195775 224425 233020 235094 250100 286700 291275 368057 391550 448850 470188 477691 547597 582550 587735 736114 783100 897700 955382 1095194 1165100 1175470 1472228 1840285 1910764 2190388 2350940 2388455 2737985 2938675 3680570 4776910 5475970 5877350 7361140 9201425 9553820 10951940 11754700 11942275 13689925 18402850 22451477 23884550 27379850 36805700 44902954 47769100 54759700 89805908 112257385 224514770 449029540 561286925 1122573850 2245147700