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225836632 = 23723672617
BaseRepresentation
bin11010111010111…
…11111001011000
3120201221200121201
431131133321120
5430303233012
634224243544
75411402560
oct1535377130
9521850551
10225836632
1110652a44a
12637705b4
1337a32258
1421dc9da0
1514c5e857
hexd75fe58

225836632 has 64 divisors (see below), whose sum is σ = 512709120. Its totient is φ = 91162368.

The previous prime is 225836629. The next prime is 225836671. The reversal of 225836632 is 236638522.

It is a junction number, because it is equal to n+sod(n) for n = 225836591 and 225836600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84988 + ... + 87604.

It is an arithmetic number, because the mean of its divisors is an integer number (8011080).

Almost surely, 2225836632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225836632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256354560).

225836632 is an abundant number, since it is smaller than the sum of its proper divisors (286872488).

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

225836632 is a wasteful number, since it uses less digits than its factorization.

225836632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2716 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 225836632 is about 15027.8618572304. The cubic root of 225836632 is about 608.9731285604.

The spelling of 225836632 in words is "two hundred twenty-five million, eight hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 2617 3082 3752 5234 6164 10468 10787 12328 18319 20936 21574 36638 43148 60191 73276 86296 120382 146552 175339 240764 350678 421337 481528 701356 842674 1227373 1402712 1685348 2454746 3370696 4032797 4909492 8065594 9818984 16131188 28229579 32262376 56459158 112918316 225836632