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226530188352 = 263413231011447
BaseRepresentation
bin1101001011111001000…
…0000101110001000000
3210122201021111220010000
43102332100011301000
512202413212011402
6252022212040000
722236425554626
oct3227620056100
9718637456100
10226530188352
11880864273a6
1237aa0603000
1318491887590
14ad6d789516
155d5c655c1c
hex34be405c40

226530188352 has 560 divisors, whose sum is σ = 762600529152. Its totient is φ = 65965363200.

The previous prime is 226530188323. The next prime is 226530188377. The reversal of 226530188352 is 253881035622.

226530188352 is a `hidden beast` number, since 2 + 2 + 6 + 530 + 1 + 88 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 226530188298 and 226530188307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156550893 + ... + 156552339.

Almost surely, 2226530188352 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 226530188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381300264576).

226530188352 is an abundant number, since it is smaller than the sum of its proper divisors (536070340800).

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

226530188352 is a wasteful number, since it uses less digits than its factorization.

226530188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 226530188352 in words is "two hundred twenty-six billion, five hundred thirty million, one hundred eighty-eight thousand, three hundred fifty-two".