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2260356420 = 223579475683
BaseRepresentation
bin1000011010111010…
…0100110101000100
312211112021000002110
42012232210311010
514112122401140
61012143141020
7110004466260
oct20656446504
95745230073
102260356420
11a5aa04263
12530ba4770
132a03a490a
141762ad0a0
15d3690380
hex86ba4d44

2260356420 has 96 divisors (see below), whose sum is σ = 7242052608. Its totient is φ = 516016512.

The previous prime is 2260356419. The next prime is 2260356473. The reversal of 2260356420 is 246530622.

It is a super-2 number, since 2×22603564202 = 10218422290870432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 394899 + ... + 400581.

It is an arithmetic number, because the mean of its divisors is an integer number (75438048).

Almost surely, 22260356420 is an apocalyptic number.

2260356420 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 2260356420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621026304).

2260356420 is an abundant number, since it is smaller than the sum of its proper divisors (4981696188).

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

2260356420 is a wasteful number, since it uses less digits than its factorization.

2260356420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2260356420 is about 47543.2058237557. The cubic root of 2260356420 is about 1312.3781016949.

The spelling of 2260356420 in words is "two billion, two hundred sixty million, three hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 947 1894 2841 3788 4735 5682 5683 6629 9470 11364 11366 13258 14205 17049 18940 19887 22732 26516 28410 28415 33145 34098 39774 39781 56820 56830 66290 68196 79548 79562 85245 99435 113660 119343 132580 159124 170490 198870 198905 238686 340980 397740 397810 477372 596715 795620 1193430 2386860 5381801 10763602 16145403 21527204 26909005 32290806 37672607 53818010 64581612 75345214 80727015 107636020 113017821 150690428 161454030 188363035 226035642 322908060 376726070 452071284 565089105 753452140 1130178210 2260356420