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2233690368 = 283713311031
BaseRepresentation
bin1000010100100011…
…0110100100000000
312202200002020010220
42011020312210000
514033311042433
61005351423040
7106232024550
oct20510664400
95680066126
102233690368
11a469506a8
12524084a80
132979c92a0
1417292b160
15d11742b3
hex85236900

2233690368 has 288 divisors, whose sum is σ = 7560118272. Its totient is φ = 569548800.

The previous prime is 2233690357. The next prime is 2233690397. The reversal of 2233690368 is 8630963322.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166013 + ... + 2167043.

Almost surely, 22233690368 is an apocalyptic number.

2233690368 is a gapful number since it is divisible by the number (28) 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 2233690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780059136).

2233690368 is an abundant number, since it is smaller than the sum of its proper divisors (5326427904).

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

2233690368 is a wasteful number, since it uses less digits than its factorization.

2233690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 2233690368 is about 47261.9336041174. The cubic root of 2233690368 is about 1307.1968434859.

The spelling of 2233690368 in words is "two billion, two hundred thirty-three million, six hundred ninety thousand, three hundred sixty-eight".