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21998719440 = 24325171797281
BaseRepresentation
bin10100011111001110…
…011101000111010000
32002210010110201212200
4110133032131013100
5330023133010230
614034524523200
71406102013165
oct243716350720
962703421780
1021998719440
119369781575
12431b3b0500
1320c77c4169
1410c992a06c
1588b479160
hex51f39d1d0

21998719440 has 120 divisors (see below), whose sum is σ = 78224901768. Its totient is φ = 5521244160.

The previous prime is 21998719439. The next prime is 21998719451. The reversal of 21998719440 is 4491789912.

21998719440 is a `hidden beast` number, since 2 + 199 + 8 + 7 + 1 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12013913664 + 9984805776 = 109608^2 + 99924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886401 + ... + 910880.

Almost surely, 221998719440 is an apocalyptic number.

21998719440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21998719440 is an abundant number, since it is smaller than the sum of its proper divisors (56226182328).

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

21998719440 is a wasteful number, since it uses less digits than its factorization.

21998719440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797317 (or 1797308 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 21998719440 in words is "twenty-one billion, nine hundred ninety-eight million, seven hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 1797281 3594562 5391843 7189124 8986405 10783686 14378248 16175529 17972810 21567372 26959215 28756496 30553777 32351058 35945620 43134744 53918430 61107554 64702116 71891240 80877645 86269488 91661331 107836860 122215108 129404232 143782480 152768885 161755290 183322662 215673720 244430216 258808464 274983993 305537770 323510580 366645324 431347440 458306655 488860432 549967986 611075540 647021160 733290648 916613310 1099935972 1222151080 1294042320 1374919965 1466581296 1833226620 2199871944 2444302160 2749839930 3666453240 4399743888 5499679860 7332906480 10999359720 21998719440