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2212551990 = 2335114631609
BaseRepresentation
bin1000001111100000…
…1101110100110110
312201012022021202000
42003320031310312
514012403130430
61003314400130
7105554244615
oct20370156466
95635267660
102212551990
11a35a23070
12518b90046
1329350797c
1416dbc787c
15ce39ae60
hex83e0dd36

2212551990 has 128 divisors (see below), whose sum is σ = 6454425600. Its totient is φ = 534885120.

The previous prime is 2212551977. The next prime is 2212551997. The reversal of 2212551990 is 991552122.

It is a happy number.

2212551990 is a `hidden beast` number, since 2 + 2 + 12 + 551 + 9 + 90 = 666.

2212551990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212551997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1374306 + ... + 1375914.

It is an arithmetic number, because the mean of its divisors is an integer number (50425200).

Almost surely, 22212551990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212551990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227212800).

2212551990 is an abundant number, since it is smaller than the sum of its proper divisors (4241873610).

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

2212551990 is a wasteful number, since it uses less digits than its factorization.

2212551990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2212551990 is about 47037.7719497852. The cubic root of 2212551990 is about 1303.0602440778.

The spelling of 2212551990 in words is "two billion, two hundred twelve million, five hundred fifty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 463 495 594 926 990 1389 1485 1609 2315 2778 2970 3218 4167 4630 4827 5093 6945 8045 8334 9654 10186 12501 13890 14481 15279 16090 17699 20835 24135 25002 25465 28962 30558 35398 41670 43443 45837 48270 50930 53097 62505 72405 76395 86886 88495 91674 106194 125010 137511 144810 152790 159291 176990 217215 229185 265485 275022 318582 434430 458370 477873 530970 687555 744967 796455 955746 1375110 1489934 1592910 2234901 2389365 3724835 4469802 4778730 6704703 7449670 8194637 11174505 13409406 16389274 20114109 22349010 24583911 33523515 40228218 40973185 49167822 67047030 73751733 81946370 100570545 122919555 147503466 201141090 221255199 245839110 368758665 442510398 737517330 1106275995 2212551990