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1022220344420 = 2251123128148491
BaseRepresentation
bin11101110000000010001…
…01001001110001100100
310121201112021220212200022
432320001011021301210
5113222001402010140
62101333533334312
7133565400364202
oct16700105116144
93551467825608
101022220344420
1136458080a600
12146143637398
1375519978c32
1437693584072
151b8cc3bc0b5
hexee01149c64

1022220344420 has 144 divisors (see below), whose sum is σ = 2444387839488. Its totient is φ = 358438080000.

The previous prime is 1022220344371. The next prime is 1022220344479. The reversal of 1022220344420 is 244430222201.

It is a super-2 number, since 2×10222203444202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022220344420.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21056375 + ... + 21104865.

It is an arithmetic number, because the mean of its divisors is an integer number (16974915552).

Almost surely, 21022220344420 is an apocalyptic number.

1022220344420 is a gapful number since it is divisible by the number (10) 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 1022220344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222193919744).

1022220344420 is an abundant number, since it is smaller than the sum of its proper divisors (1422167495068).

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

1022220344420 is a wasteful number, since it uses less digits than its factorization.

1022220344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48834 (or 48821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 1022220344420 its reverse (244430222201), we get a palindrome (1266650566621).

The spelling of 1022220344420 in words is "one trillion, twenty-two billion, two hundred twenty million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 281 310 341 484 562 605 620 682 1124 1210 1364 1405 1705 2420 2810 3091 3410 3751 5620 6182 6820 7502 8711 12364 15004 15455 17422 18755 30910 34001 34844 37510 43555 48491 61820 68002 75020 87110 95821 96982 136004 170005 174220 191642 193964 242455 340010 383284 479105 484910 533401 680020 958210 969820 1054031 1066802 1503221 1916420 2108062 2133604 2667005 3006442 4216124 5270155 5334010 5867411 6012884 7516105 10540310 10668020 11734822 13625971 15032210 16535431 21080620 23469644 27251942 29337055 30064420 33070862 54503884 58674110 66141724 68129855 82677155 117348220 136259710 149885681 165354310 181889741 272519420 299771362 330708620 363779482 422405101 599542724 727558964 749428405 844810202 909448705 1498856810 1648742491 1689620404 1818897410 2112025505 2997713620 3297484982 3637794820 4224051010 4646456111 6594969964 8243712455 8448102020 9292912222 16487424910 18585824444 23232280555 32974849820 46464561110 51111017221 92929122220 102222034442 204444068884 255555086105 511110172210 1022220344420