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2188420640 = 25573895023
BaseRepresentation
bin1000001001110000…
…1010011000100000
312122111220021202022
42002130022120200
513440213430030
61001053241012
7105142161050
oct20234123040
95574807668
102188420640
11a233408aa
12510a93168
1328b508c73
1416a905560
15cc1d0de5
hex8270a620

2188420640 has 96 divisors (see below), whose sum is σ = 5925104640. Its totient is φ = 748237824.

The previous prime is 2188420621. The next prime is 2188420651. The reversal of 2188420640 is 460248812.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2188420640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433169 + ... + 438191.

It is an arithmetic number, because the mean of its divisors is an integer number (61719840).

Almost surely, 22188420640 is an apocalyptic number.

2188420640 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 2188420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962552320).

2188420640 is an abundant number, since it is smaller than the sum of its proper divisors (3736684000).

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

2188420640 is a wasteful number, since it uses less digits than its factorization.

2188420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2188420640 is about 46780.5583549406. The cubic root of 2188420640 is about 1298.3056110739.

It can be divided in two parts, 21884 and 20640, that added together give a palindrome (42524).

The spelling of 2188420640 in words is "two billion, one hundred eighty-eight million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 389 560 778 1120 1556 1945 2723 3112 3890 5023 5446 6224 7780 10046 10892 12448 13615 15560 20092 21784 25115 27230 31120 35161 40184 43568 50230 54460 62240 70322 80368 87136 100460 108920 140644 160736 175805 200920 217840 281288 351610 401840 435680 562576 703220 803680 1125152 1406440 1953947 2812880 3907894 5625760 7815788 9769735 13677629 15631576 19539470 27355258 31263152 39078940 54710516 62526304 68388145 78157880 109421032 136776290 156315760 218842064 273552580 312631520 437684128 547105160 1094210320 2188420640