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245136100 = 2252111937317
BaseRepresentation
bin11101001110001…
…11101011100100
3122002021012111211
432213013223210
51000223323400
640154041204
76034423336
oct1647075344
9562235454
10245136100
11116411420
126a119204
133ba2b861
14247b1456
15167c2dba
hexe9c7ae4

245136100 has 144 divisors (see below), whose sum is σ = 629334720. Its totient is φ = 81907200.

The previous prime is 245136097. The next prime is 245136121. The reversal of 245136100 is 1631542.

It is a super-4 number, since 4×2451361004 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773142 + ... + 773458.

It is an arithmetic number, because the mean of its divisors is an integer number (4370380).

Almost surely, 2245136100 is an apocalyptic number.

245136100 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 245136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314667360).

245136100 is an abundant number, since it is smaller than the sum of its proper divisors (384198620).

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

245136100 is a wasteful number, since it uses less digits than its factorization.

245136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 245136100 is about 15656.8227939132. The cubic root of 245136100 is about 625.8483200440.

Adding to 245136100 its reverse (1631542), we get a palindrome (246767642).

The spelling of 245136100 in words is "two hundred forty-five million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 37 38 44 50 55 74 76 95 100 110 148 185 190 209 220 275 317 370 380 407 418 475 550 634 703 740 814 836 925 950 1045 1100 1268 1406 1585 1628 1850 1900 2035 2090 2812 3170 3487 3515 3700 4070 4180 5225 6023 6340 6974 7030 7733 7925 8140 10175 10450 11729 12046 13948 14060 15466 15850 17435 17575 20350 20900 23458 24092 30115 30932 31700 34870 35150 38665 40700 46916 58645 60230 66253 69740 70300 77330 87175 117290 120460 129019 132506 150575 154660 174350 193325 222851 234580 258038 265012 293225 301150 331265 348700 386650 445702 516076 586450 602300 645095 662530 773300 891404 1114255 1172900 1290190 1325060 1656325 2228510 2451361 2580380 3225475 3312650 4457020 4902722 5571275 6450950 6625300 9805444 11142550 12256805 12901900 22285100 24513610 49027220 61284025 122568050 245136100