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225412142600 = 23521767639803
BaseRepresentation
bin1101000111101110011…
…1000101011000001000
3210112211100201021200002
43101323213011120020
512143121002030400
6251315232302132
722166631412211
oct3217347053010
9715740637602
10225412142600
1187662307047
123782a0a1948
1318344058b48
14aca50b0408
155ce4407ed5
hex347b9c5608

225412142600 has 96 divisors (see below), whose sum is σ = 555050322720. Its totient is φ = 84839838720.

The previous prime is 225412142581. The next prime is 225412142621. The reversal of 225412142600 is 6241214522.

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, 22989299 + ... + 22999101.

It is an arithmetic number, because the mean of its divisors is an integer number (5781774195).

Almost surely, 2225412142600 is an apocalyptic number.

225412142600 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 225412142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277525161360).

225412142600 is an abundant number, since it is smaller than the sum of its proper divisors (329638180120).

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

225412142600 is a wasteful number, since it uses less digits than its factorization.

225412142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 225412142600 in words is "two hundred twenty-five billion, four hundred twelve million, one hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 6763 9803 13526 19606 27052 33815 39212 49015 54104 67630 78424 98030 114971 135260 166651 169075 196060 229942 245075 270520 333302 338150 392120 459884 490150 574855 666604 676300 833255 919768 980300 1149710 1333208 1352600 1666510 1960600 2299420 2874275 3333020 4166275 4598840 5748550 6666040 8332550 11497100 16665100 22994200 33330200 66297689 132595378 265190756 331488445 530381512 662976890 1127060713 1325953780 1657442225 2254121426 2651907560 3314884450 4508242852 5635303565 6629768900 9016485704 11270607130 13259537800 22541214260 28176517825 45082428520 56353035650 112706071300 225412142600