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2313204140 = 2251329271149
BaseRepresentation
bin1000100111100000…
…1011000110101100
312222012200221112102
42021320023012230
514214140013030
61021311554232
7111215624252
oct21170130654
95865627472
102313204140
11a8781a565
1254682b978
132ab319260
1417d3085d2
15d812dc45
hex89e0b1ac

2313204140 has 144 divisors (see below), whose sum is σ = 5531198400. Its totient is φ = 807582720.

The previous prime is 2313204137. The next prime is 2313204149. The reversal of 2313204140 is 414023132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2313204149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15524786 + ... + 15524934.

It is an arithmetic number, because the mean of its divisors is an integer number (38411100).

Almost surely, 22313204140 is an apocalyptic number.

2313204140 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 2313204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765599200).

2313204140 is an abundant number, since it is smaller than the sum of its proper divisors (3217994260).

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

2313204140 is a wasteful number, since it uses less digits than its factorization.

2313204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2313204140 is about 48095.7808960412. The cubic root of 2313204140 is about 1322.5273243569.

Adding to 2313204140 its reverse (414023132), we get a palindrome (2727227272).

The spelling of 2313204140 in words is "two billion, three hundred thirteen million, two hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 71 116 130 142 145 149 260 284 290 298 355 377 580 596 710 745 754 841 923 1420 1490 1508 1682 1846 1885 1937 2059 2980 3364 3692 3770 3874 4118 4205 4321 4615 7540 7748 8236 8410 8642 9230 9685 10295 10579 10933 16820 17284 18460 19370 20590 21158 21605 21866 26767 38740 41180 42316 43210 43732 52895 53534 54665 56173 59711 86420 105790 107068 109330 112346 119422 125309 133835 137527 211580 218660 224692 238844 250618 267670 275054 280865 298555 306791 501236 535340 550108 561730 597110 613582 626545 687635 776243 1123460 1194220 1227164 1253090 1375270 1533955 1552486 1629017 2506180 2750540 3067910 3104972 3258034 3881215 3988283 6135820 6516068 7762430 7976566 8145085 8896939 15524860 15953132 16290170 17793878 19941415 32580340 35587756 39882830 44484695 79765660 88969390 115660207 177938780 231320414 462640828 578301035 1156602070 2313204140