Search a number
-
+
226998723840 = 2835741281733
BaseRepresentation
bin1101001101101000101…
…1011010010100000000
3210200220221010221222020
43103122023122110000
512204343133130330
6252140510241440
722254145213410
oct3233213322400
9720827127866
10226998723840
11882a6953009
1237bb14b6280
1318537973c05
14adb5ab0640
155d88856210
hex34da2da500

226998723840 has 576 divisors, whose sum is σ = 852936279552. Its totient is φ = 50370969600.

The previous prime is 226998723839. The next prime is 226998723841. The reversal of 226998723840 is 48327899622.

It is an interprime number because it is at equal distance from previous prime (226998723839) and next prime (226998723841).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226998723841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309684114 + ... + 309684846.

It is an arithmetic number, because the mean of its divisors is an integer number (1480792152).

Almost surely, 2226998723840 is an apocalyptic number.

226998723840 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 226998723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426468139776).

226998723840 is an abundant number, since it is smaller than the sum of its proper divisors (625937555712).

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

226998723840 is a wasteful number, since it uses less digits than its factorization.

226998723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 226998723840 in words is "two hundred twenty-six billion, nine hundred ninety-eight million, seven hundred twenty-three thousand, eight hundred forty".