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2022995268 = 2232723418513
BaseRepresentation
bin111100010010100…
…0111010101000100
312012222121210210200
41320211013111010
513120341322033
6532423450500
7101063114250
oct17045072504
95188553720
102022995268
11948a23318
124855b6a30
13263168c28
14152963260
15bc906013
hex78947544

2022995268 has 144 divisors (see below), whose sum is σ = 6247777536. Its totient is φ = 539320320.

The previous prime is 2022995267. The next prime is 2022995287. The reversal of 2022995268 is 8625992202.

It is not an unprimeable number, because it can be changed into a prime (2022995267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233380 + ... + 241892.

It is an arithmetic number, because the mean of its divisors is an integer number (43387344).

Almost surely, 22022995268 is an apocalyptic number.

2022995268 is a gapful number since it is divisible by the number (28) 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 2022995268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123888768).

2022995268 is an abundant number, since it is smaller than the sum of its proper divisors (4224782268).

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

2022995268 is a wasteful number, since it uses less digits than its factorization.

2022995268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8589 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2022995268 is about 44977.7196843059. The cubic root of 2022995268 is about 1264.7313646838.

The spelling of 2022995268 in words is "two billion, twenty-two million, nine hundred ninety-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 41 42 46 63 69 82 84 92 123 126 138 161 164 207 246 252 276 287 322 369 414 483 492 574 644 738 828 861 943 966 1148 1449 1476 1722 1886 1932 2583 2829 2898 3444 3772 5166 5658 5796 6601 8487 8513 10332 11316 13202 16974 17026 19803 25539 26404 33948 34052 39606 51078 59409 59591 76617 79212 102156 118818 119182 153234 178773 195799 237636 238364 306468 349033 357546 391598 536319 587397 698066 715092 783196 1047099 1072638 1174794 1370593 1396132 1762191 2094198 2145276 2349588 2443231 2741186 3141297 3524382 4111779 4188396 4886462 5482372 6282594 7048764 7329693 8027759 8223558 9772924 12335337 12565188 14659386 16055518 16447116 21989079 24083277 24670674 29318772 32111036 43978158 48166554 49341348 56194313 72249831 87956316 96333108 112388626 144499662 168582939 224777252 288999324 337165878 505748817 674331756 1011497634 2022995268