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2227346940 = 22357213101577
BaseRepresentation
bin1000010011000010…
…1001110111111100
312202020010221121010
42010300221313330
514030200100230
61005003435220
7106124064600
oct20460516774
95666127533
102227346940
11a433087a5
12521b25b10
132965b7b90
14171b59500
15d081e9b0
hex84c29dfc

2227346940 has 288 divisors, whose sum is σ = 7903877184. Its totient is φ = 464486400.

The previous prime is 2227346929. The next prime is 2227346951. The reversal of 2227346940 is 496437222.

It is a happy number.

2227346940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2227346929) and next prime (2227346951).

It is a super-2 number, since 2×22273469402 = 9922148782254727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3859932 + ... + 3860508.

It is an arithmetic number, because the mean of its divisors is an integer number (27444018).

Almost surely, 22227346940 is an apocalyptic number.

2227346940 is a gapful number since it is divisible by the number (20) 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 2227346940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951938592).

2227346940 is an abundant number, since it is smaller than the sum of its proper divisors (5676530244).

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

2227346940 is a wasteful number, since it uses less digits than its factorization.

2227346940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2227346940 is about 47194.7766177572. The cubic root of 2227346940 is about 1305.9582398526.

The spelling of 2227346940 in words is "two billion, two hundred twenty-seven million, three hundred forty-six thousand, nine hundred forty".