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4225897440 = 25335978217
BaseRepresentation
bin1111101111100010…
…0001001111100000
3101220111202211111000
43323320201033200
532123312204230
61535155352000
7206502351462
oct37370411740
911814684430
104225897440
111879455326
1299b2b2600
1352467553b
142c1358132
1519aee7b60
hexfbe213e0

4225897440 has 96 divisors (see below), whose sum is σ = 14790656160. Its totient is φ = 1126904832.

The previous prime is 4225897439. The next prime is 4225897447. The reversal of 4225897440 is 447985224.

4225897440 is a `hidden beast` number, since 4 + 22 + 589 + 7 + 4 + 40 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225897447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484789 + ... + 493428.

It is an arithmetic number, because the mean of its divisors is an integer number (154069335).

Almost surely, 24225897440 is an apocalyptic number.

4225897440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4225897440 is an abundant number, since it is smaller than the sum of its proper divisors (10564758720).

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

4225897440 is a wasteful number, since it uses less digits than its factorization.

4225897440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978241 (or 978227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4225897440 is about 65006.9030180642. The cubic root of 4225897440 is about 1616.7380178001.

The spelling of 4225897440 in words is "four billion, two hundred twenty-five million, eight hundred ninety-seven thousand, four 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 978217 1956434 2934651 3912868 4891085 5869302 7825736 8803953 9782170 11738604 14673255 15651472 17607906 19564340 23477208 26411859 29346510 31302944 35215812 39128680 44019765 46954416 52823718 58693020 70431624 78257360 88039530 93908832 105647436 117386040 132059295 140863248 156514720 176079060 211294872 234772080 264118590 281726496 352158120 422589744 469544160 528237180 704316240 845179488 1056474360 1408632480 2112948720 4225897440