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245213440 = 2851759191
BaseRepresentation
bin11101001110110…
…10100100000000
3122002102010121021
432213122210000
51000233312230
640155435224
76035164663
oct1647324400
9562363537
10245213440
1111646453a
126a155b14
133ba57b14
14247d16da
15167dac7a
hexe9da900

245213440 has 144 divisors (see below), whose sum is σ = 635765760. Its totient is φ = 90275840.

The previous prime is 245213431. The next prime is 245213459. The reversal of 245213440 is 44312542.

It is a happy number.

245213440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283745 + ... + 1283935.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2245213440 is an apocalyptic number.

245213440 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 245213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317882880).

245213440 is an abundant number, since it is smaller than the sum of its proper divisors (390552320).

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

245213440 is a wasteful number, since it uses less digits than its factorization.

245213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 245213440 is about 15659.2924488944. The cubic root of 245213440 is about 625.9141311310.

Adding to 245213440 its reverse (44312542), we get a palindrome (289525982).

The spelling of 245213440 in words is "two hundred forty-five million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 191 236 256 272 295 320 340 382 472 544 590 640 680 764 944 955 1003 1088 1180 1280 1360 1528 1888 1910 2006 2176 2360 2720 3056 3247 3776 3820 4012 4352 4720 5015 5440 6112 6494 7552 7640 8024 9440 10030 10880 11269 12224 12988 15104 15280 16048 16235 18880 20060 21760 22538 24448 25976 30560 32096 32470 37760 40120 45076 48896 51952 56345 61120 64192 64940 75520 80240 90152 103904 112690 122240 128384 129880 160480 180304 191573 207808 225380 244480 256768 259760 320960 360608 383146 415616 450760 519520 641920 721216 766292 831232 901520 957865 1039040 1283840 1442432 1532584 1803040 1915730 2078080 2884864 3065168 3606080 3831460 4156160 6130336 7212160 7662920 12260672 14424320 15325840 24521344 30651680 49042688 61303360 122606720 245213440