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2313023220 = 22325471012707
BaseRepresentation
bin1000100111011101…
…1110111011110100
312222012100202100200
42021313132323310
514214113220340
61021304040500
7111214241634
oct21167367364
95865322320
102313023220
11a87706642
12546763130
132ab284ac1
1417d29c6c4
15d80e5330
hex89ddeef4

2313023220 has 144 divisors (see below), whose sum is σ = 7239068928. Its totient is φ = 597484800.

The previous prime is 2313023203. The next prime is 2313023261. The reversal of 2313023220 is 223203132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313023193 and 2313023202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853107 + ... + 855813.

It is an arithmetic number, because the mean of its divisors is an integer number (50271312).

Almost surely, 22313023220 is an apocalyptic number.

2313023220 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 2313023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619534464).

2313023220 is an abundant number, since it is smaller than the sum of its proper divisors (4926045708).

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

2313023220 is a wasteful number, since it uses less digits than its factorization.

2313023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313023220 is about 48093.9000290058. The cubic root of 2313023220 is about 1322.4928443503.

Adding to 2313023220 its reverse (223203132), we get a palindrome (2536226352).

The spelling of 2313023220 in words is "two billion, three hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 101 141 180 188 202 235 282 303 404 423 470 505 564 606 705 846 909 940 1010 1212 1410 1515 1692 1818 2020 2115 2707 2820 3030 3636 4230 4545 4747 5414 6060 8121 8460 9090 9494 10828 13535 14241 16242 18180 18988 23735 24363 27070 28482 32484 40605 42723 47470 48726 54140 56964 71205 81210 85446 94940 97452 121815 127229 142410 162420 170892 213615 243630 254458 273407 284820 381687 427230 487260 508916 546814 636145 763374 820221 854460 1093628 1145061 1272290 1367035 1526748 1640442 1908435 2290122 2460663 2544580 2734070 3280884 3816870 4101105 4580244 4921326 5468140 5725305 7633740 8202210 9842652 11450610 12303315 12850129 16404420 22901220 24606630 25700258 38550387 49213260 51400516 64250645 77100774 115651161 128501290 154201548 192751935 231302322 257002580 385503870 462604644 578255805 771007740 1156511610 2313023220