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226892250 = 23253137757
BaseRepresentation
bin11011000011000…
…01100111011010
3120210221022122200
431201201213122
5431041023000
634303031030
75423360304
oct1541414732
9523838580
10226892250
11107090562
1263b9b476
1338011890
14221c2974
1514dbc500
hexd8619da

226892250 has 96 divisors (see below), whose sum is σ = 660795408. Its totient is φ = 55843200.

The previous prime is 226892233. The next prime is 226892257. The reversal of 226892250 is 52298622.

226892250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5745609 + 221146641 = 2397^2 + 14871^2 .

It is a super-2 number, since 2×2268922502 = 102960186220125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226892257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25372 + ... + 33128.

Almost surely, 2226892250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226892250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330397704).

226892250 is an abundant number, since it is smaller than the sum of its proper divisors (433903158).

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

226892250 is a wasteful number, since it uses less digits than its factorization.

226892250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 226892250 is about 15062.9429395454. The cubic root of 226892250 is about 609.9204859181.

The spelling of 226892250 in words is "two hundred twenty-six million, eight hundred ninety-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2925 3250 4875 5850 7757 9750 14625 15514 23271 29250 38785 46542 69813 77570 100841 116355 139626 193925 201682 232710 302523 349065 387850 504205 581775 605046 698130 907569 969625 1008410 1163550 1512615 1745325 1815138 1939250 2521025 2908875 3025230 3490650 4537845 5042050 5817750 7563075 8726625 9075690 12605125 15126150 17453250 22689225 25210250 37815375 45378450 75630750 113446125 226892250