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2206141488 = 2433431131051
BaseRepresentation
bin1000001101111111…
…0000110000110000
312200202020121012000
42003133300300300
514004233011423
61002525134000
7105445615245
oct20337606060
95622217160
102206141488
11a32344831
125169ba300
132920a1b85
1416cdd95cc
15cda31843
hex837f0c30

2206141488 has 160 divisors (see below), whose sum is σ = 6543271680. Its totient is φ = 711244800.

The previous prime is 2206141423. The next prime is 2206141543. The reversal of 2206141488 is 8841416022.

2206141488 is a `hidden beast` number, since 2 + 20 + 614 + 14 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2098563 + ... + 2099613.

It is an arithmetic number, because the mean of its divisors is an integer number (40895448).

Almost surely, 22206141488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206141488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271635840).

2206141488 is an abundant number, since it is smaller than the sum of its proper divisors (4337130192).

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

2206141488 is a wasteful number, since it uses less digits than its factorization.

2206141488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2206141488 is about 46969.5804537362. The cubic root of 2206141488 is about 1301.8005598228.

The spelling of 2206141488 in words is "two billion, two hundred six million, one hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 113 129 144 172 216 226 258 339 344 387 432 452 516 678 688 774 904 1017 1032 1051 1161 1356 1548 1808 2034 2064 2102 2322 2712 3051 3096 3153 4068 4204 4644 4859 5424 6102 6192 6306 8136 8408 9288 9459 9718 12204 12612 14577 16272 16816 18576 18918 19436 24408 25224 28377 29154 37836 38872 43731 45193 48816 50448 56754 58308 75672 77744 87462 90386 113508 116616 118763 131193 135579 151344 174924 180772 227016 233232 237526 262386 271158 349848 356289 361544 406737 454032 475052 524772 542316 699696 712578 723088 813474 950104 1049544 1068867 1084632 1220211 1425156 1626948 1900208 2099088 2137734 2169264 2440422 2850312 3206601 3253896 4275468 4880844 5106809 5700624 6413202 6507792 8550936 9761688 10213618 12826404 15320427 17101872 19523376 20427236 25652808 30640854 40854472 45961281 51305616 61281708 81708944 91922562 122563416 137883843 183845124 245126832 275767686 367690248 551535372 735380496 1103070744 2206141488