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2189437920 = 253251520443
BaseRepresentation
bin1000001010000000…
…0010101111100000
312122120210222012100
42002200002233200
513440444003140
61001131130400
7105153625635
oct20240025740
95576728170
102189437920
11a2397612a
125112a3a00
1328b7a3cc7
1416aacc18c
15cc332530
hex82802be0

2189437920 has 72 divisors (see below), whose sum is σ = 7471461816. Its totient is φ = 583849728.

The previous prime is 2189437909. The next prime is 2189437931. The reversal of 2189437920 is 297349812.

It is an interprime number because it is at equal distance from previous prime (2189437909) and next prime (2189437931).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758782 + ... + 761661.

It is an arithmetic number, because the mean of its divisors is an integer number (103770303).

Almost surely, 22189437920 is an apocalyptic number.

2189437920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189437920 is an abundant number, since it is smaller than the sum of its proper divisors (5282023896).

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

2189437920 is a wasteful number, since it uses less digits than its factorization.

2189437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520464 (or 1520453 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2189437920 is about 46791.4299845602. The cubic root of 2189437920 is about 1298.5067509147.

The spelling of 2189437920 in words is "two billion, one hundred eighty-nine million, four hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1520443 3040886 4561329 6081772 7602215 9122658 12163544 13683987 15204430 18245316 22806645 24327088 27367974 30408860 36490632 45613290 48654176 54735948 60817720 68419935 72981264 91226580 109471896 121635440 136839870 145962528 182453160 218943792 243270880 273679740 364906320 437887584 547359480 729812640 1094718960 2189437920