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23213332000 = 255331318541
BaseRepresentation
bin10101100111100111…
…110101011000100000
32012220202222110002001
4111213213311120200
5340020103111000
614355234133344
71451151031525
oct254747653040
965822873061
1023213332000
119932358a01
1245ba121254
13225c333811
1411a2d8114c
1590cdee46a
hex5679f5620

23213332000 has 96 divisors (see below), whose sum is σ = 57220463664. Its totient is φ = 9255168000.

The previous prime is 23213331979. The next prime is 23213332003. The reversal of 23213332000 is 23331232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 810427024 + 22402904976 = 28468^2 + 149676^2 .

It is not an unprimeable number, because it can be changed into a prime (23213332003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242730 + ... + 1261270.

Almost surely, 223213332000 is an apocalyptic number.

23213332000 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 23213332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28610231832).

23213332000 is an abundant number, since it is smaller than the sum of its proper divisors (34007131664).

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

23213332000 is a wasteful number, since it uses less digits than its factorization.

23213332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18879 (or 18861 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23213332000 its reverse (23331232), we get a palindrome (23236663232).

The spelling of 23213332000 in words is "twenty-three billion, two hundred thirteen million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 626 800 1000 1252 1565 2000 2504 3130 4000 5008 6260 7825 10016 12520 15650 18541 25040 31300 37082 39125 50080 62600 74164 78250 92705 125200 148328 156500 185410 250400 296656 313000 370820 463525 593312 626000 741640 927050 1252000 1483280 1854100 2317625 2966560 3708200 4635250 5803333 7416400 9270500 11606666 14832800 18541000 23213332 29016665 37082000 46426664 58033330 74164000 92853328 116066660 145083325 185706656 232133320 290166650 464266640 580333300 725416625 928533280 1160666600 1450833250 2321333200 2901666500 4642666400 5803333000 11606666000 23213332000