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1100023220 = 225317012531
BaseRepresentation
bin100000110010001…
…0000010110110100
32211122212222011202
41001210100112310
54223101220340
6301053152032
736155020532
oct10144202664
92748788152
101100023220
11514a307aa
1226848b618
13146b8b41a
14a6147152
156688cc15
hex419105b4

1100023220 has 48 divisors (see below), whose sum is σ = 2388911616. Its totient is φ = 425040000.

The previous prime is 1100023213. The next prime is 1100023289. The reversal of 1100023220 is 223200011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433355 + ... + 435885.

It is an arithmetic number, because the mean of its divisors is an integer number (49768992).

Almost surely, 21100023220 is an apocalyptic number.

1100023220 is a gapful number since it is divisible by the number (10) 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 1100023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194455808).

1100023220 is an abundant number, since it is smaller than the sum of its proper divisors (1288888396).

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

1100023220 is a wasteful number, since it uses less digits than its factorization.

1100023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1100023220 is about 33166.5979563777. The cubic root of 1100023220 is about 1032.2873789035.

Adding to 1100023220 its reverse (223200011), we get a palindrome (1323223231).

The spelling of 1100023220 in words is "one billion, one hundred million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 701 1402 2531 2804 3505 5062 7010 10124 12655 14020 21731 25310 43462 50620 78461 86924 108655 156922 217310 313844 392305 434620 784610 1569220 1774231 3548462 7096924 8871155 17742310 35484620 55001161 110002322 220004644 275005805 550011610 1100023220