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2261689932 = 2232941915511
BaseRepresentation
bin1000011011001110…
…1010011001001100
312211121202202022210
42012303222121030
514112443034212
61012231510420
7110022022125
oct20663523114
95747682283
102261689932
11a60735137
12531528410
132a0750888
1417653904c
15d385553c
hex86cea64c

2261689932 has 48 divisors (see below), whose sum is σ = 5472633600. Its totient is φ = 726116160.

The previous prime is 2261689901. The next prime is 2261689933. The reversal of 2261689932 is 2399861622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2261689933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138057 + ... + 153567.

It is an arithmetic number, because the mean of its divisors is an integer number (114013200).

Almost surely, 22261689932 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 2261689932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736316800).

2261689932 is an abundant number, since it is smaller than the sum of its proper divisors (3210943668).

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

2261689932 is a wasteful number, since it uses less digits than its factorization.

2261689932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15966 (or 15964 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 2261689932 is about 47557.2279679966. The cubic root of 2261689932 is about 1312.6361329637.

The spelling of 2261689932 in words is "two billion, two hundred sixty-one million, six hundred eighty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 419 838 1257 1676 2514 5028 12151 15511 24302 31022 36453 46533 48604 62044 72906 93066 145812 186132 449819 899638 1349457 1799276 2698914 5397828 6499109 12998218 19497327 25996436 38994654 77989308 188474161 376948322 565422483 753896644 1130844966 2261689932