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2252260608 = 283131931383
BaseRepresentation
bin1000011000111110…
…1100010100000000
312210222000200201120
42012033230110000
514103034314413
61011253432240
7106545620313
oct20617542400
95728020646
102252260608
11a56384804
1252a33b680
1329b7cb9b0
141751a297a
15d2ae1723
hex863ec500

2252260608 has 288 divisors, whose sum is σ = 7032668160. Its totient is φ = 633692160.

The previous prime is 2252260603. The next prime is 2252260609. The reversal of 2252260608 is 8060622522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252260603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880385 + ... + 5880767.

Almost surely, 22252260608 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 2252260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516334080).

2252260608 is an abundant number, since it is smaller than the sum of its proper divisors (4780407552).

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

2252260608 is a wasteful number, since it uses less digits than its factorization.

2252260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2252260608 is about 47457.9878208084. The cubic root of 2252260608 is about 1310.8093997663.

The spelling of 2252260608 in words is "two billion, two hundred fifty-two million, two hundred sixty thousand, six hundred eight".