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220798464 = 293433343
BaseRepresentation
bin11010010100100…
…01111000000000
3120101110201112220
431022101320000
5423011022324
633524251040
75320520205
oct1512217000
9511421486
10220798464
111036a9177
1261b40a80
1336989ca3
1421477cac
15145b6b79
hexd291e00

220798464 has 80 divisors (see below), whose sum is σ = 602080512. Its totient is φ = 71866368.

The previous prime is 220798463. The next prime is 220798537. The reversal of 220798464 is 464897022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220798463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64377 + ... + 67719.

Almost surely, 2220798464 is an apocalyptic number.

220798464 is a gapful number since it is divisible by the number (24) 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 220798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301040256).

220798464 is an abundant number, since it is smaller than the sum of its proper divisors (381282048).

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

220798464 is an equidigital number, since it uses as much as digits as its factorization.

220798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 220798464 is about 14859.2888120529. The cubic root of 220798464 is about 604.4105216128.

The spelling of 220798464 in words is "two hundred twenty million, seven hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 3343 4128 5504 6686 8256 10029 11008 13372 16512 20058 22016 26744 33024 40116 53488 66048 80232 106976 143749 160464 213952 287498 320928 427904 431247 574996 641856 855808 862494 1149992 1283712 1711616 1724988 2299984 2567424 3449976 4599968 5134848 6899952 9199936 13799904 18399872 27599808 36799744 55199616 73599488 110399232 220798464