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2323321020 = 22325371991753
BaseRepresentation
bin1000101001111011…
…0001000010111100
312222220201221021200
42022132301002330
514224232233040
61022312455500
7111400621446
oct21236610274
95886657250
102323321020
11a924aa519
1254a0aa590
132b044c087
141807bd496
15d8e7b630
hex8a7b10bc

2323321020 has 144 divisors (see below), whose sum is σ = 7278398400. Its totient is φ = 599436288.

The previous prime is 2323320953. The next prime is 2323321037. The reversal of 2323321020 is 201233232.

It is a happy number.

2323321020 is a `hidden beast` number, since 2 + 323 + 321 + 0 + 20 = 666.

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 = 2323320984 and 2323321002.

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, 1324464 + ... + 1326216.

Almost surely, 22323321020 is an apocalyptic number.

2323321020 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 2323321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639199200).

2323321020 is an abundant number, since it is smaller than the sum of its proper divisors (4955077380).

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

2323321020 is a wasteful number, since it uses less digits than its factorization.

2323321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1999 counting only the distinct ones).

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

The square root of 2323321020 is about 48200.8404491042. The cubic root of 2323321020 is about 1324.4525603694.

Adding to 2323321020 its reverse (201233232), we get a palindrome (2524554252).

It can be divided in two parts, 23233 and 21020, that added together give a triangular number (44253 = T297).

The spelling of 2323321020 in words is "two billion, three hundred twenty-three million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 199 222 333 370 398 444 555 597 666 740 796 995 1110 1194 1332 1665 1753 1791 1990 2220 2388 2985 3330 3506 3582 3980 5259 5970 6660 7012 7164 7363 8765 8955 10518 11940 14726 15777 17530 17910 21036 22089 26295 29452 31554 35060 35820 36815 44178 52590 63108 64861 66267 73630 78885 88356 105180 110445 129722 132534 147260 157770 194583 220890 259444 265068 315540 324305 331335 348847 389166 441780 583749 648610 662670 697694 778332 972915 1046541 1167498 1297220 1325340 1395388 1744235 1945830 2093082 2334996 2918745 3139623 3488470 3891660 4186164 5232705 5837490 6279246 6976940 10465410 11674980 12558492 12907339 15698115 20930820 25814678 31396230 38722017 51629356 62792460 64536695 77444034 116166051 129073390 154888068 193610085 232332102 258146780 387220170 464664204 580830255 774440340 1161660510 2323321020