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245155300 = 2252131711093
BaseRepresentation
bin11101001110011…
…00010111100100
3122002022011211221
432213030113210
51000224432200
640154310124
76034533325
oct1647142744
9562264757
10245155300
11116424895
126a128344
133ba37510
14247b844c
15167c891a
hexe9cc5e4

245155300 has 72 divisors (see below), whose sum is σ = 606664296. Its totient is φ = 85186560.

The previous prime is 245155289. The next prime is 245155307. The reversal of 245155300 is 3551542.

It can be written as a sum of positive squares in 12 ways, for example, as 37161216 + 207994084 = 6096^2 + 14422^2 .

It is a super-2 number, since 2×2451553002 = 120202242236180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (245155307) 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, 16554 + ... + 27646.

It is an arithmetic number, because the mean of its divisors is an integer number (8425893).

Almost surely, 2245155300 is an apocalyptic number.

245155300 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 245155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303332148).

245155300 is an abundant number, since it is smaller than the sum of its proper divisors (361508996).

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

245155300 is a wasteful number, since it uses less digits than its factorization.

245155300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 245155300 is about 15657.4359331277. The cubic root of 245155300 is about 625.8646592314.

The spelling of 245155300 in words is "two hundred forty-five million, one hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 11093 22100 22186 44372 55465 110930 144209 188581 221860 277325 288418 377162 554650 576836 721045 754324 942905 1109300 1442090 1885810 2451553 2884180 3605225 3771620 4714525 4903106 7210450 9429050 9806212 12257765 14420900 18858100 24515530 49031060 61288825 122577650 245155300