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2283152500 = 22542359673
BaseRepresentation
bin1000100000010110…
…0010010001110100
312220010011011102201
42020011202101310
514133441340000
61014315514244
7110402322166
oct21005422164
95803134381
102283152500
11a718642a2
12538758984
132a5026915
14179324936
15d569496a
hex88162474

2283152500 has 120 divisors (see below), whose sum is σ = 5306051520. Its totient is φ = 857472000.

The previous prime is 2283152483. The next prime is 2283152503. The reversal of 2283152500 is 52513822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283152503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3392164 + ... + 3392836.

It is an arithmetic number, because the mean of its divisors is an integer number (44217096).

Almost surely, 22283152500 is an apocalyptic number.

2283152500 is a gapful number since it is divisible by the number (20) 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 2283152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653025760).

2283152500 is an abundant number, since it is smaller than the sum of its proper divisors (3022899020).

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

2283152500 is a wasteful number, since it uses less digits than its factorization.

2283152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2283152500 is about 47782.3450659341. The cubic root of 2283152500 is about 1316.7752051385.

The spelling of 2283152500 in words is "two billion, two hundred eighty-three million, one hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 59 92 100 115 118 125 230 236 250 295 460 500 575 590 625 673 1150 1180 1250 1346 1357 1475 2300 2500 2692 2714 2875 2950 3365 5428 5750 5900 6730 6785 7375 11500 13460 13570 14375 14750 15479 16825 27140 28750 29500 30958 33650 33925 36875 39707 57500 61916 67300 67850 73750 77395 79414 84125 135700 147500 154790 158828 168250 169625 198535 309580 336500 339250 386975 397070 420625 678500 773950 794140 841250 848125 913261 992675 1547900 1682500 1696250 1826522 1934875 1985350 3392500 3653044 3869750 3970700 4566305 4963375 7739500 9132610 9674375 9926750 18265220 19348750 19853500 22831525 24816875 38697500 45663050 49633750 91326100 99267500 114157625 228315250 456630500 570788125 1141576250 2283152500