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2430221920 = 25572169841
BaseRepresentation
bin1001000011011010…
…0011111001100000
320021100220001202021
42100312203321200
514434114100140
61041052031224
7114136355050
oct22066437140
96240801667
102430221920
111037884775
12579a62514
132c963a949
14190a89560
15e3545b4a
hex90da3e60

2430221920 has 48 divisors (see below), whose sum is σ = 6561602208. Its totient is φ = 833218560.

The previous prime is 2430221897. The next prime is 2430221971. The reversal of 2430221920 is 291220342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083801 + ... + 1086040.

It is an arithmetic number, because the mean of its divisors is an integer number (136700046).

Almost surely, 22430221920 is an apocalyptic number.

2430221920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430221920 is an abundant number, since it is smaller than the sum of its proper divisors (4131380288).

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

2430221920 is a wasteful number, since it uses less digits than its factorization.

2430221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169863 (or 2169855 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2430221920 is about 49297.2810609267. The cubic root of 2430221920 is about 1344.4623491963.

The spelling of 2430221920 in words is "two billion, four hundred thirty million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2169841 4339682 8679364 10849205 15188887 17358728 21698410 30377774 34717456 43396820 60755548 69434912 75944435 86793640 121511096 151888870 173587280 243022192 303777740 347174560 486044384 607555480 1215110960 2430221920