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10225043520 = 263515170537
BaseRepresentation
bin10011000010111010…
…11100100001000000
3222101121020000210120
421201131130201000
5131420102343040
64410342100240
7511246302336
oct114135344100
928347200716
1010225043520
11437785259a
121b9441a680
13c6c502713
146cddc3b56
153eca127d0
hex26175c840

10225043520 has 112 divisors (see below), whose sum is σ = 32679973248. Its totient is φ = 2708582400.

The previous prime is 10225043513. The next prime is 10225043527. The reversal of 10225043520 is 2534052201.

It is an interprime number because it is at equal distance from previous prime (10225043513) and next prime (10225043527).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10225043527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109692 + ... + 180228.

Almost surely, 210225043520 is an apocalyptic number.

10225043520 is a gapful number since it is divisible by the number (10) 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 10225043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339986624).

10225043520 is an abundant number, since it is smaller than the sum of its proper divisors (22454929728).

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

10225043520 is a wasteful number, since it uses less digits than its factorization.

10225043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70708 (or 70698 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10225043520 its reverse (2534052201), we get a palindrome (12759095721).

The spelling of 10225043520 in words is "ten billion, two hundred twenty-five million, forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 151 160 192 240 302 320 453 480 604 755 906 960 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 9664 12080 14496 18120 24160 28992 36240 48320 70537 72480 141074 144960 211611 282148 352685 423222 564296 705370 846444 1058055 1128592 1410740 1692888 2116110 2257184 2821480 3385776 4232220 4514368 5642960 6771552 8464440 10651087 11285920 13543104 16928880 21302174 22571840 31953261 33857760 42604348 53255435 63906522 67715520 85208696 106510870 127813044 159766305 170417392 213021740 255626088 319532610 340834784 426043480 511252176 639065220 681669568 852086960 1022504352 1278130440 1704173920 2045008704 2556260880 3408347840 5112521760 10225043520