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2044141220 = 22511193713217
BaseRepresentation
bin111100111010111…
…0001111010100100
312021110102010121002
41321311301322210
513141300004340
6534501012432
7101440625252
oct17165617244
95243363532
102044141220
11959956610
124906b4118
13267660b24
141556a95d2
15be6d1715
hex79d71ea4

2044141220 has 96 divisors (see below), whose sum is σ = 5063022720. Its totient is φ = 685117440.

The previous prime is 2044141213. The next prime is 2044141279. The reversal of 2044141220 is 221414402.

2044141220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2044141192 and 2044141201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148052 + ... + 161268.

It is an arithmetic number, because the mean of its divisors is an integer number (52739820).

Almost surely, 22044141220 is an apocalyptic number.

2044141220 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 2044141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531511360).

2044141220 is an abundant number, since it is smaller than the sum of its proper divisors (3018881500).

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

2044141220 is a wasteful number, since it uses less digits than its factorization.

2044141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2044141220 is about 45212.1799961028. The cubic root of 2044141220 is about 1269.1227579051.

Adding to 2044141220 its reverse (221414402), we get a palindrome (2265555622).

The spelling of 2044141220 in words is "two billion, forty-four million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 37 38 44 55 74 76 95 110 148 185 190 209 220 370 380 407 418 703 740 814 836 1045 1406 1628 2035 2090 2812 3515 4070 4180 7030 7733 8140 13217 14060 15466 26434 30932 38665 52868 66085 77330 132170 145387 154660 251123 264340 290774 489029 502246 581548 726935 978058 1004492 1255615 1453870 1956116 2445145 2511230 2762353 2907740 4890290 5022460 5379319 5524706 9291551 9780580 10758638 11049412 13811765 18583102 21517276 26896595 27623530 37166204 46457755 53793190 55247060 92915510 102207061 107586380 185831020 204414122 408828244 511035305 1022070610 2044141220