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22550376640 = 2651142115217
BaseRepresentation
bin10101000000000110…
…110111000011000000
32011012120111211021211
4111000012313003000
5332140344023030
614205352455504
71425551016211
oct250006670300
964176454254
1022550376640
119622110810
1244540aa594
132184b94a3c
14113cccb408
158beae812a
hex5401b70c0

22550376640 has 112 divisors (see below), whose sum is σ = 58722731424. Its totient is φ = 8180121600.

The previous prime is 22550376617. The next prime is 22550376659. The reversal of 22550376640 is 4667305522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22550376593 and 22550376602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474312 + ... + 1489528.

It is an arithmetic number, because the mean of its divisors is an integer number (524310102).

Almost surely, 222550376640 is an apocalyptic number.

22550376640 is a gapful number since it is divisible by the number (20) 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 22550376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361365712).

22550376640 is an abundant number, since it is smaller than the sum of its proper divisors (36172354784).

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

22550376640 is a wasteful number, since it uses less digits than its factorization.

22550376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666 (or 15656 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 22550376640 in words is "twenty-two billion, five hundred fifty million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 421 440 704 842 880 1684 1760 2105 3368 3520 4210 4631 6736 8420 9262 13472 15217 16840 18524 23155 26944 30434 33680 37048 46310 60868 67360 74096 76085 92620 121736 134720 148192 152170 167387 185240 243472 296384 304340 334774 370480 486944 608680 669548 740960 836935 973888 1217360 1339096 1481920 1673870 2434720 2678192 3347740 4869440 5356384 6406357 6695480 10712768 12812714 13390960 25625428 26781920 32031785 51250856 53563840 64063570 70469927 102501712 128127140 140939854 205003424 256254280 281879708 352349635 410006848 512508560 563759416 704699270 1025017120 1127518832 1409398540 2050034240 2255037664 2818797080 4510075328 5637594160 11275188320 22550376640