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23024213400 = 23352347110587
BaseRepresentation
bin10101011100010110…
…011001110110011000
32012102121010020010110
4111130112121312120
5334123144312100
614324400444320
71443363404406
oct253426316630
965377106113
1023024213400
119845628341
1245669196a0
13222c0b9316
141185bd2476
158eb4e4250
hex55c599d98

23024213400 has 96 divisors (see below), whose sum is σ = 71581400640. Its totient is φ = 6122040960.

The previous prime is 23024213393. The next prime is 23024213417. The reversal of 23024213400 is 431242032.

It is a super-2 number, since 2×230242134002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 152907 + ... + 263493.

It is an arithmetic number, because the mean of its divisors is an integer number (745639590).

Almost surely, 223024213400 is an apocalyptic number.

23024213400 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 23024213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35790700320).

23024213400 is an abundant number, since it is smaller than the sum of its proper divisors (48557187240).

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

23024213400 is a wasteful number, since it uses less digits than its factorization.

23024213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110953 (or 110944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23024213400 its reverse (431242032), we get a palindrome (23455455432).

The spelling of 23024213400 in words is "twenty-three billion, twenty-four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 347 600 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 8675 10410 13880 17350 20820 26025 34700 41640 52050 69400 104100 110587 208200 221174 331761 442348 552935 663522 884696 1105870 1327044 1658805 2211740 2654088 2764675 3317610 4423480 5529350 6635220 8294025 11058700 13270440 16588050 22117400 33176100 38373689 66352200 76747378 115121067 153494756 191868445 230242134 306989512 383736890 460484268 575605335 767473780 920968536 959342225 1151210670 1534947560 1918684450 2302421340 2878026675 3837368900 4604842680 5756053350 7674737800 11512106700 23024213400