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2421022520 = 2357591011451
BaseRepresentation
bin1001000001001101…
…1101111100111000
320020201120200112202
42100103131330320
514424240210040
61040122525332
7113665231460
oct22023357470
96221520482
102421022520
111032671064
12576966848
132c7769607
1418d772ba0
15e282a015
hex904ddf38

2421022520 has 128 divisors (see below), whose sum is σ = 6398092800. Its totient is φ = 807360000.

The previous prime is 2421022511. The next prime is 2421022543. The reversal of 2421022520 is 252201242.

2421022520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24210225202 = 11722700084694300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2421022492 and 2421022501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667795 + ... + 1669245.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 22421022520 is an apocalyptic number.

2421022520 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 2421022520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199046400).

2421022520 is an abundant number, since it is smaller than the sum of its proper divisors (3977070280).

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

2421022520 is a wasteful number, since it uses less digits than its factorization.

2421022520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2421022520 is about 49203.8872448102. The cubic root of 2421022520 is about 1342.7637545049.

Adding to 2421022520 its reverse (252201242), we get a palindrome (2673223762).

The spelling of 2421022520 in words is "two billion, four hundred twenty-one million, twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 101 118 140 202 236 280 295 404 413 472 505 590 707 808 826 1010 1180 1414 1451 1652 2020 2065 2360 2828 2902 3304 3535 4040 4130 5656 5804 5959 7070 7255 8260 10157 11608 11918 14140 14510 16520 20314 23836 28280 29020 29795 40628 41713 47672 50785 58040 59590 81256 83426 85609 101570 119180 146551 166852 171218 203140 208565 238360 293102 333704 342436 406280 417130 428045 586204 599263 684872 732755 834260 856090 1025857 1172408 1198526 1465510 1668520 1712180 2051714 2397052 2931020 2996315 3424360 4103428 4794104 5129285 5862040 5992630 8206856 8646509 10258570 11985260 17293018 20517140 23970520 34586036 41034280 43232545 60525563 69172072 86465090 121051126 172930180 242102252 302627815 345860360 484204504 605255630 1210511260 2421022520