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5225214400 = 26527466537
BaseRepresentation
bin1001101110111001…
…00111000111000000
3111111011011101122021
410313130213013000
541200123330100
62222254251224
7243325406140
oct46734470700
914434141567
105225214400
112241551a0a
121019ab6b14
13653703853
14377d68920
15208ae1a1a
hex1377271c0

5225214400 has 84 divisors (see below), whose sum is σ = 14694080848. Its totient is φ = 1791498240.

The previous prime is 5225214383. The next prime is 5225214409. The reversal of 5225214400 is 44125225.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225214409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222069 + ... + 244468.

Almost surely, 25225214400 is an apocalyptic number.

5225214400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5225214400 is an abundant number, since it is smaller than the sum of its proper divisors (9468866448).

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

5225214400 is a wasteful number, since it uses less digits than its factorization.

5225214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466566 (or 466551 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5225214400 is about 72285.6444946021. The cubic root of 5225214400 is about 1735.2739146799.

Adding to 5225214400 its reverse (44125225), we get a palindrome (5269339625).

The spelling of 5225214400 in words is "five billion, two hundred twenty-five million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 466537 933074 1866148 2332685 3265759 3732296 4665370 6531518 7464592 9330740 11663425 13063036 14929184 16328795 18661480 23326850 26126072 29858368 32657590 37322960 46653700 52252144 65315180 74645920 81643975 93307400 104504288 130630360 149291840 163287950 186614800 209008576 261260720 326575900 373229600 522521440 653151800 746459200 1045042880 1306303600 2612607200 5225214400