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2231101092 = 2231124732693
BaseRepresentation
bin1000010011111011…
…1110011010100100
312202111012200022210
42010332332122210
514032130213332
61005220123420
7106201021623
oct20476763244
95674180283
102231101092
11a45442300
12523236570
1329730087c
141724556ba
15d0d11ecc
hex84fbe6a4

2231101092 has 72 divisors (see below), whose sum is σ = 5844117888. Its totient is φ = 661686080.

The previous prime is 2231101079. The next prime is 2231101111. The reversal of 2231101092 is 2901011322.

It is a super-3 number, since 3×22311010923 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51898 + ... + 84590.

It is an arithmetic number, because the mean of its divisors is an integer number (81168304).

Almost surely, 22231101092 is an apocalyptic number.

2231101092 is a gapful number since it is divisible by the number (22) 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 2231101092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922058944).

2231101092 is an abundant number, since it is smaller than the sum of its proper divisors (3613016796).

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

2231101092 is a wasteful number, since it uses less digits than its factorization.

2231101092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32769 (or 32756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2231101092 is about 47234.5328335107. The cubic root of 2231101092 is about 1306.6915508184.

The spelling of 2231101092 in words is "two billion, two hundred thirty-one million, one hundred one thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 2068 3102 5687 6204 11374 17061 22748 32693 34122 65386 68244 98079 130772 196158 359623 392316 719246 1078869 1438492 1536571 2157738 3073142 3955853 4315476 4609713 6146284 7911706 9219426 11867559 15823412 16902281 18438852 23735118 33804562 47470236 50706843 67609124 101413686 185925091 202827372 371850182 557775273 743700364 1115550546 2231101092