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224022400440 = 23352964374253
BaseRepresentation
bin1101000010100011000…
…1101000110110111000
3210102020111200001211020
43100220301220312320
512132244213303230
6250525305302440
722120324661616
oct3205061506670
9712214601736
10224022400440
1187009894203
1237500794a20
131818215c3c7
14abb26ac6b6
155c623dc810
hex3428c68db8

224022400440 has 64 divisors (see below), whose sum is σ = 695241943200. Its totient is φ = 57679329792.

The previous prime is 224022400429. The next prime is 224022400453. The reversal of 224022400440 is 44004220422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224022400440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32183647 + ... + 32190606.

Almost surely, 2224022400440 is an apocalyptic number.

224022400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224022400440 is an abundant number, since it is smaller than the sum of its proper divisors (471219542760).

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

224022400440 is a wasteful number, since it uses less digits than its factorization.

224022400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64374296 (or 64374292 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 224022400440 its reverse (44004220422), we get a palindrome (268026620862).

The spelling of 224022400440 in words is "two hundred twenty-four billion, twenty-two million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 64374253 128748506 193122759 257497012 321871265 386245518 514994024 643742530 772491036 965613795 1287485060 1544982072 1866853337 1931227590 2574970120 3733706674 3862455180 5600560011 7467413348 7724910360 9334266685 11201120022 14934826696 18668533370 22402240044 28002800055 37337066740 44804480088 56005600110 74674133480 112011200220 224022400440