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5223554400 = 253525034327
BaseRepresentation
bin1001101110101100…
…10001110101100000
3111111001001001112210
410313112101311200
541144212220100
62222154522120
7243305323401
oct46726216540
914431031483
105223554400
112240618809
121019436340
136532720bc
14377a559a8
152088b4c50
hex137591d60

5223554400 has 144 divisors (see below), whose sum is σ = 17040409344. Its totient is φ = 1389857280.

The previous prime is 5223554393. The next prime is 5223554407. The reversal of 5223554400 is 44553225.

It is an interprime number because it is at equal distance from previous prime (5223554393) and next prime (5223554407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223554407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205037 + ... + 1209363.

It is an arithmetic number, because the mean of its divisors is an integer number (118336176).

Almost surely, 25223554400 is an apocalyptic number.

5223554400 is a gapful number since it is divisible by the number (50) 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 5223554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520204672).

5223554400 is an abundant number, since it is smaller than the sum of its proper divisors (11816854944).

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

5223554400 is a wasteful number, since it uses less digits than its factorization.

5223554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5223554400 is about 72274.1613579846. The cubic root of 5223554400 is about 1735.0901353124.

The spelling of 5223554400 in words is "five billion, two hundred twenty-three million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 503 600 800 1006 1200 1509 2012 2400 2515 3018 4024 4327 5030 6036 7545 8048 8654 10060 12072 12575 12981 15090 16096 17308 20120 21635 24144 25150 25962 30180 34616 37725 40240 43270 48288 50300 51924 60360 64905 69232 75450 80480 86540 100600 103848 108175 120720 129810 138464 150900 173080 201200 207696 216350 241440 259620 301800 324525 346160 402400 415392 432700 519240 603600 649050 692320 865400 1038480 1207200 1298100 1730800 2076960 2176481 2596200 3461600 4352962 5192400 6529443 8705924 10384800 10882405 13058886 17411848 21764810 26117772 32647215 34823696 43529620 52235544 54412025 65294430 69647392 87059240 104471088 108824050 130588860 163236075 174118480 208942176 217648100 261177720 326472150 348236960 435296200 522355440 652944300 870592400 1044710880 1305888600 1741184800 2611777200 5223554400