Search a number
-
+
4322219740 = 2251729557787
BaseRepresentation
bin1000000011001111…
…11101011011011100
3102011020000111211121
410001213331123130
532322442012430
61552520100324
7212052155506
oct40147753334
912136014747
104322219740
111918864733
12a076046a4
1353b5cc097
142d006cd76
151a46c2a7a
hex1019fd6dc

4322219740 has 96 divisors (see below), whose sum is σ = 9972486720. Its totient is φ = 1566265344.

The previous prime is 4322219701. The next prime is 4322219761. The reversal of 4322219740 is 479122234.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4322219696 and 4322219705.

It is a congruent number.

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, 5491627 + ... + 5492413.

It is an arithmetic number, because the mean of its divisors is an integer number (103880070).

Almost surely, 24322219740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4322219740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986243360).

4322219740 is an abundant number, since it is smaller than the sum of its proper divisors (5650266980).

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

4322219740 is a wasteful number, since it uses less digits than its factorization.

4322219740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4322219740 is about 65743.5908663346. The cubic root of 4322219740 is about 1628.9294713303.

The spelling of 4322219740 in words is "four billion, three hundred twenty-two million, two hundred nineteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 557 580 787 986 1114 1574 1972 2228 2465 2785 3148 3935 4930 5570 7870 9469 9860 11140 13379 15740 16153 18938 22823 26758 32306 37876 45646 47345 53516 64612 66895 80765 91292 94690 114115 133790 161530 189380 228230 267580 274601 323060 387991 438359 456460 549202 775982 876718 1098404 1373005 1551964 1753436 1939955 2191795 2746010 3879910 4383590 5492020 7452103 7759820 8767180 12712411 14904206 25424822 29808412 37260515 50849644 63562055 74521030 127124110 149042060 216110987 254248220 432221974 864443948 1080554935 2161109870 4322219740