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256422240 = 2533559357
BaseRepresentation
bin11110100100010…
…11000101100000
3122212111121012000
433102023011200
51011121002430
641240004000
76232360464
oct1722130540
9585447160
10256422240
1112181a908
1271a60600
1341180949
14260ac4a4
15177a1e60
hexf48b160

256422240 has 96 divisors (see below), whose sum is σ = 897492960. Its totient is φ = 68378112.

The previous prime is 256422217. The next prime is 256422253. The reversal of 256422240 is 42224652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 25359 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (9348885).

Almost surely, 2256422240 is an apocalyptic number.

256422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256422240 is an abundant number, since it is smaller than the sum of its proper divisors (641070720).

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

256422240 is a wasteful number, since it uses less digits than its factorization.

256422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59381 (or 59367 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 256422240 is about 16013.1895636066. The cubic root of 256422240 is about 635.3093249809.

Adding to 256422240 its reverse (42224652), we get a palindrome (298646892).

The spelling of 256422240 in words is "two hundred fifty-six million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 59357 118714 178071 237428 296785 356142 474856 534213 593570 712284 890355 949712 1068426 1187140 1424568 1602639 1780710 1899424 2136852 2374280 2671065 2849136 3205278 3561420 4273704 4748560 5342130 5698272 6410556 7122840 8013195 8547408 9497120 10684260 12821112 14245680 16026390 17094816 21368520 25642224 28491360 32052780 42737040 51284448 64105560 85474080 128211120 256422240