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228431776752 = 243631631753
BaseRepresentation
bin1101010010111110011…
…0000100101111110000
3210211121210200121000000
43110233212010233300
512220312013324002
6252535021430000
722334516031264
oct3245746045760
9724553617000
10228431776752
1188971867963
123833140b300
131870582610a
14b0b01480a4
155e1e57961c
hex352f984bf0

228431776752 has 140 divisors (see below), whose sum is σ = 684983065024. Its totient is φ = 73687553280.

The previous prime is 228431776667. The next prime is 228431776789. The reversal of 228431776752 is 257677134822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45708 + ... + 677460.

Almost surely, 2228431776752 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 228431776752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342491532512).

228431776752 is an abundant number, since it is smaller than the sum of its proper divisors (456551288272).

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

228431776752 is an equidigital number, since it uses as much as digits as its factorization.

228431776752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631810 (or 631789 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 228431776752 in words is "two hundred twenty-eight billion, four hundred thirty-one million, seven hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 729 744 837 972 1116 1296 1458 1488 1674 1944 2232 2511 2916 3348 3888 4464 5022 5832 6696 7533 10044 11664 13392 15066 20088 22599 30132 40176 45198 60264 90396 120528 180792 361584 631753 1263506 1895259 2527012 3790518 5054024 5685777 7581036 10108048 11371554 15162072 17057331 19584343 22743108 30324144 34114662 39168686 45486216 51171993 58753029 68229324 78337372 90972432 102343986 117506058 136458648 153515979 156674744 176259087 204687972 235012116 272917296 307031958 313349488 352518174 409375944 460547937 470024232 528777261 614063916 705036348 818751888 921095874 940048464 1057554522 1228127832 1410072696 1586331783 1842191748 2115109044 2456255664 2820145392 3172663566 3684383496 4230218088 4758995349 6345327132 7368766992 8460436176 9517990698 12690654264 14276986047 19035981396 25381308528 28553972094 38071962792 57107944188 76143925584 114215888376 228431776752