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226197000 = 23325341613
BaseRepresentation
bin11010111101101…
…11111000001000
3120202121222221200
431132313320020
5430401301000
634240104200
75414433321
oct1536677010
9522558850
10226197000
11106756177
1263905060
1337b2a2a3
1422081448
1514cd1500
hexd7b7e08

226197000 has 192 divisors, whose sum is σ = 784470960. Its totient is φ = 58752000.

The previous prime is 226196963. The next prime is 226197029. The reversal of 226197000 is 791622.

It can be written as a sum of positive squares in 8 ways, for example, as 45724644 + 180472356 = 6762^2 + 13434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368694 + ... + 369306.

Almost surely, 2226197000 is an apocalyptic number.

226197000 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 226197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392235480).

226197000 is an abundant number, since it is smaller than the sum of its proper divisors (558273960).

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

226197000 is a wasteful number, since it uses less digits than its factorization.

226197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 226197000 is about 15039.8470736906. The cubic root of 226197000 is about 609.2968696675.

The spelling of 226197000 in words is "two hundred twenty-six million, one hundred ninety-seven thousand".