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23005133200 = 2452757114389
BaseRepresentation
bin10101011011001101…
…100111100110010000
32012101021012212000101
4111123031213212100
5334103303230300
614322435502144
71443042256120
oct253315474620
965337185011
1023005133200
119835886085
124560457954
13222816876a
141183466c80
158e99c5b6a
hex55b367990

23005133200 has 120 divisors (see below), whose sum is σ = 63280543040. Its totient is φ = 7873113600.

The previous prime is 23005133161. The next prime is 23005133237. The reversal of 23005133200 is 233150032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591606 + ... + 1605994.

Almost surely, 223005133200 is an apocalyptic number.

23005133200 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 23005133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640271520).

23005133200 is an abundant number, since it is smaller than the sum of its proper divisors (40275409840).

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

23005133200 is a wasteful number, since it uses less digits than its factorization.

23005133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14985 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

Adding to 23005133200 its reverse (233150032), we get a palindrome (23238283232).

The spelling of 23005133200 in words is "twenty-three billion, five million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 571 700 1142 1400 2284 2800 2855 3997 4568 5710 7994 9136 11420 14275 14389 15988 19985 22840 28550 28778 31976 39970 45680 57100 57556 63952 71945 79940 99925 100723 114200 115112 143890 159880 199850 201446 228400 230224 287780 319760 359725 399700 402892 503615 575560 719450 799400 805784 1007230 1151120 1438900 1598800 1611568 2014460 2518075 2877800 4028920 5036150 5755600 8057840 8216119 10072300 16432238 20144600 32864476 40289200 41080595 57512833 65728952 82161190 115025666 131457904 164322380 205402975 230051332 287564165 328644760 410805950 460102664 575128330 657289520 821611900 920205328 1150256660 1437820825 1643223800 2300513320 2875641650 3286447600 4601026640 5751283300 11502566600 23005133200