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4298220432 = 243211171931271
BaseRepresentation
bin1000000000011000…
…11010001110010000
3102002112212012222100
410000030122032100
532300321023212
61550301440400
7211341161622
oct40014321620
912075765870
104298220432
1119062626a0
129bb570100
135366484cc
142cabc2c12
151a2531bdc
hex10031a390

4298220432 has 480 divisors, whose sum is σ = 15153315840. Its totient is φ = 1119744000.

The previous prime is 4298220431. The next prime is 4298220457. The reversal of 4298220432 is 2340228924.

4298220432 is a `hidden beast` number, since 429 + 8 + 220 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4298220431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15860457 + ... + 15860727.

It is an arithmetic number, because the mean of its divisors is an integer number (31569408).

Almost surely, 24298220432 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 4298220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576657920).

4298220432 is an abundant number, since it is smaller than the sum of its proper divisors (10855095408).

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

4298220432 is a wasteful number, since it uses less digits than its factorization.

4298220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4298220432 is about 65560.8147600379. The cubic root of 4298220432 is about 1625.9089739941.

The spelling of 4298220432 in words is "four billion, two hundred ninety-eight million, two hundred twenty thousand, four hundred thirty-two".