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4213223220 = 22351715432677
BaseRepresentation
bin1111101100100000…
…1010111100110100
3101212121220220201110
43323020022330310
532112041120340
61534023555020
7206256543423
oct37310127464
911777826643
104213223220
111872288a68
12996bbba70
13521b586bb
142bd7b92ba
15199d42680
hexfb20af34

4213223220 has 96 divisors (see below), whose sum is σ = 12503731968. Its totient is φ = 1056356352.

The previous prime is 4213223207. The next prime is 4213223221. The reversal of 4213223220 is 223223124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213223221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572522 + ... + 1575198.

It is an arithmetic number, because the mean of its divisors is an integer number (130247208).

Almost surely, 24213223220 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 4213223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251865984).

4213223220 is an abundant number, since it is smaller than the sum of its proper divisors (8290508748).

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

4213223220 is a wasteful number, since it uses less digits than its factorization.

4213223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4213223220 is about 64909.3461683293. The cubic root of 4213223220 is about 1615.1201040438.

Adding to 4213223220 its reverse (223223124), we get a palindrome (4436446344).

The spelling of 4213223220 in words is "four billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1543 2677 3086 4629 5354 6172 7715 8031 9258 10708 13385 15430 16062 18516 23145 26231 26770 30860 32124 40155 45509 46290 52462 53540 78693 80310 91018 92580 104924 131155 136527 157386 160620 182036 227545 262310 273054 314772 393465 455090 524620 546108 682635 786930 910180 1365270 1573860 2730540 4130611 8261222 12391833 16522444 20653055 24783666 41306110 49567332 61959165 70220387 82612220 123918330 140440774 210661161 247836660 280881548 351101935 421322322 702203870 842644644 1053305805 1404407740 2106611610 4213223220