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3954222720 = 273257101971
BaseRepresentation
bin1110101110110000…
…1010011010000000
3101012120120022211100
43223230022122000
531044240111340
61452212414400
7166663224060
oct35354123200
911176508740
103954222720
11174a068068
12924317400
134b02b4376
142972393a0
15182231830
hexebb0a680

3954222720 has 384 divisors, whose sum is σ = 15775793280. Its totient is φ = 893952000.

The previous prime is 3954222709. The next prime is 3954222731. The reversal of 3954222720 is 272224593.

3954222720 is a `hidden beast` number, since 395 + 42 + 227 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3954222709) and next prime (3954222731).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 4071835 + ... + 4072805.

It is an arithmetic number, because the mean of its divisors is an integer number (41082795).

Almost surely, 23954222720 is an apocalyptic number.

3954222720 is a gapful number since it is divisible by the number (30) 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 3954222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887896640).

3954222720 is an abundant number, since it is smaller than the sum of its proper divisors (11821570560).

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

3954222720 is a wasteful number, since it uses less digits than its factorization.

3954222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3954222720 is about 62882.6106328292. The cubic root of 3954222720 is about 1581.3222281161.

The spelling of 3954222720 in words is "three billion, nine hundred fifty-four million, two hundred twenty-two thousand, seven hundred twenty".