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2420662200 = 23352113531039
BaseRepresentation
bin1001000001001000…
…0101111110111000
320020200220101021120
42100102011332320
514424142142300
61040111105240
7113662201125
oct22022057670
96220811246
102420662200
111032445380
12576812220
132c76715c8
1418d6bb74c
15e27a83a0
hex90485fb8

2420662200 has 192 divisors, whose sum is σ = 8217331200. Its totient is φ = 584601600.

The previous prime is 2420662199. The next prime is 2420662201. The reversal of 2420662200 is 22660242.

It is an interprime number because it is at equal distance from previous prime (2420662199) and next prime (2420662201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420662201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329281 + ... + 2330319.

It is an arithmetic number, because the mean of its divisors is an integer number (42798600).

Almost surely, 22420662200 is an apocalyptic number.

2420662200 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 2420662200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108665600).

2420662200 is an abundant number, since it is smaller than the sum of its proper divisors (5796669000).

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

2420662200 is a wasteful number, since it uses less digits than its factorization.

2420662200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2420662200 is about 49200.2256092388. The cubic root of 2420662200 is about 1342.6971368345.

The spelling of 2420662200 in words is "two billion, four hundred twenty million, six hundred sixty-two thousand, two hundred".