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2234920820 = 225112314
BaseRepresentation
bin1000010100110110…
…0010111101110100
312202202101202000012
42011031202331310
514034114431240
61005434035352
7106245341066
oct20515427564
95682352005
102234920820
11a47611100
12524578b58
1329803a372
14172b6b736
15d1318b65
hex85362f74

2234920820 has 90 divisors (see below), whose sum is σ = 5330747730. Its totient is φ = 786482400.

The previous prime is 2234920819. The next prime is 2234920843. The reversal of 2234920820 is 280294322.

2234920820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1787936656 + 446984164 = 42284^2 + 21142^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 72094205 + ... + 72094235.

Almost surely, 22234920820 is an apocalyptic number.

2234920820 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 2234920820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665373865).

2234920820 is an abundant number, since it is smaller than the sum of its proper divisors (3095826910).

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

2234920820 is an frugal number, since it uses more digits than its factorization.

2234920820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2234920820 is about 47274.9491803006. The cubic root of 2234920820 is about 1307.4368271681.

The spelling of 2234920820 in words is "two billion, two hundred thirty-four million, nine hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 961 1210 1364 1705 1922 2420 3410 3751 3844 4805 6820 7502 9610 10571 15004 18755 19220 21142 29791 37510 42284 52855 59582 75020 105710 116281 119164 148955 211420 232562 297910 327701 465124 581405 595820 655402 923521 1162810 1310804 1638505 1847042 2325620 3277010 3604711 3694084 4617605 6554020 7209422 9235210 10158731 14418844 18023555 18470420 20317462 36047110 40634924 50793655 72094220 101587310 111746041 203174620 223492082 446984164 558730205 1117460410 2234920820