Search a number
-
+
223322894740 = 2251115729322067
BaseRepresentation
bin1100111111111100010…
…1001111000110010100
3210100102202102111101201
43033333011033012110
512124331130112430
6250332040402244
722064102166451
oct3177705170624
9710382374351
10223322894740
118678aa52220
1237346476384
13180a0263cca
14ab47822828
155c20cb68ca
hex33ff14f194

223322894740 has 96 divisors (see below), whose sum is σ = 516651778944. Its totient is φ = 80412034560.

The previous prime is 223322894737. The next prime is 223322894747. The reversal of 223322894740 is 47498223322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223322894747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10109187 + ... + 10131253.

It is an arithmetic number, because the mean of its divisors is an integer number (5381789364).

Almost surely, 2223322894740 is an apocalyptic number.

223322894740 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 223322894740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258325889472).

223322894740 is an abundant number, since it is smaller than the sum of its proper divisors (293328884204).

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

223322894740 is a wasteful number, since it uses less digits than its factorization.

223322894740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22537 (or 22535 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 223322894740 in words is "two hundred twenty-three billion, three hundred twenty-two million, eight hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 293 314 586 628 785 1172 1465 1570 1727 2930 3140 3223 3454 5860 6446 6908 8635 12892 16115 17270 22067 32230 34540 44134 46001 64460 88268 92002 110335 184004 220670 230005 242737 441340 460010 485474 506011 920020 970948 1012022 1213685 2024044 2427370 2530055 3464519 4854740 5060110 6465631 6929038 10120220 12931262 13858076 17322595 25862524 32328155 34645190 38109709 64656310 69290380 71121941 76219418 129312620 142243882 152438836 190548545 284487764 355609705 381097090 711219410 762194180 1015104067 1422438820 2030208134 4060416268 5075520335 10151040670 11166144737 20302081340 22332289474 44664578948 55830723685 111661447370 223322894740