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23023223304400 = 24521117307797103
BaseRepresentation
bin1010011110000100000110…
…00010111111000011010000
310000111222222000110212202001
411033002003002333003100
511004203030131220100
6120544420041403344
74564241636063554
oct517020302770320
9100458860425661
1023023223304400
117377104383070
1226ba07aa99554
13cb0108229577
1459848956d864
1529dd482e8d6a
hex14f0830bf0d0

23023223304400 has 120 divisors (see below), whose sum is σ = 63891291659904. Its totient is φ = 7879605811200.

The previous prime is 23023223304397. The next prime is 23023223304407. The reversal of 23023223304400 is 440332232032.

It is a super-2 number, since 2×230232233044002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023223304407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153823752 + ... + 153973351.

Almost surely, 223023223304400 is an apocalyptic number.

23023223304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23023223304400 is an abundant number, since it is smaller than the sum of its proper divisors (40868068355504).

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

23023223304400 is a wasteful number, since it uses less digits than its factorization.

23023223304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307797149 (or 307797138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 23023223304400 its reverse (440332232032), we get a palindrome (23463555536432).

The spelling of 23023223304400 in words is "twenty-three trillion, twenty-three billion, two hundred twenty-three million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 307797103 615594206 1231188412 1538985515 2462376824 3077971030 3385768133 4924753648 5232550751 6155942060 6771536266 7694927575 10465101502 12311884120 13543072532 15389855150 16928840665 20930203004 24623768240 26162753755 27086145064 30779710300 33857681330 41860406008 52325507510 54172290128 57558058261 61559420600 67715362660 83720812016 84644203325 104651015020 115116116522 123118841200 130813768775 135430725320 169288406650 209302030040 230232233044 261627537550 270861450640 287790291305 338576813300 418604060080 460464466088 523255075100 575580582610 677153626600 920928932176 1046510150200 1151161165220 1354307253200 1438951456525 2093020300400 2302322330440 2877902913050 4604644660880 5755805826100 11511611652200 23023223304400