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228439625310 = 2325131229158867
BaseRepresentation
bin1101010011000000010…
…0000000111001011110
3210211122100110100012100
43110300010000321132
512220321021002220
6252535501545530
722334642530341
oct3246004007136
9724570410170
10228439625310
1188976238676
1238333b752a6
1318707343630
14b0b11cc458
155e200c9d90
hex3530100e5e

228439625310 has 96 divisors (see below), whose sum is σ = 640155428640. Its totient is φ = 56185185024.

The previous prime is 228439625303. The next prime is 228439625317. The reversal of 228439625310 is 13526934822.

228439625310 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 3 + 9 + 625 + 3 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (228439625303) and next prime (228439625317).

It is a super-2 number, since 2×2284396253102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228439625317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358497 + ... + 1517363.

It is an arithmetic number, because the mean of its divisors is an integer number (6668285715).

Almost surely, 2228439625310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228439625310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320077714320).

228439625310 is an abundant number, since it is smaller than the sum of its proper divisors (411715803330).

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

228439625310 is a wasteful number, since it uses less digits than its factorization.

228439625310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160122 (or 160119 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 228439625310 in words is "two hundred twenty-eight billion, four hundred thirty-nine million, six hundred twenty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1229 2458 3687 6145 7374 11061 12290 15977 18435 22122 31954 36870 47931 55305 79885 95862 110610 143793 158867 159770 239655 287586 317734 476601 479310 718965 794335 953202 1429803 1437930 1588670 2065271 2383005 2859606 4130542 4766010 6195813 7149015 10326355 12391626 14298030 18587439 20652710 30979065 37174878 61958130 92937195 185874390 195247543 390495086 585742629 976237715 1171485258 1757227887 1952475430 2538218059 2928713145 3514455774 5076436118 5857426290 7614654177 8786139435 12691090295 15229308354 17572278870 22843962531 25382180590 38073270885 45687925062 76146541770 114219812655 228439625310