Search a number
-
+
5615222880 = 253524148541
BaseRepresentation
bin1010011101011000…
…11000000001100000
3112111100000212200210
411032230120001200
542444444113010
62325105414120
7256102415121
oct51654300140
915440025623
105615222880
112421713073
12110863a340
136b64573b7
143b3a8c048
1522ce7eb20
hex14eb18060

5615222880 has 96 divisors (see below), whose sum is σ = 17761711968. Its totient is φ = 1491148800.

The previous prime is 5615222861. The next prime is 5615222903. The reversal of 5615222880 is 882225165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 91410 + ... + 139950.

It is an arithmetic number, because the mean of its divisors is an integer number (185017833).

Almost surely, 25615222880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5615222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880855984).

5615222880 is an abundant number, since it is smaller than the sum of its proper divisors (12146489088).

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

5615222880 is a wasteful number, since it uses less digits than its factorization.

5615222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48800 (or 48792 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 5615222880 is about 74934.7908517799. The cubic root of 5615222880 is about 1777.4156495507.

The spelling of 5615222880 in words is "five billion, six hundred fifteen million, two hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 7712 9640 11568 14460 19280 23136 28920 38560 48541 57840 97082 115680 145623 194164 242705 291246 388328 485410 582492 728115 776656 970820 1164984 1456230 1553312 1941640 2329968 2912460 3883280 4659936 5824920 7766560 11649840 11698381 23299680 23396762 35095143 46793524 58491905 70190286 93587048 116983810 140380572 175475715 187174096 233967620 280761144 350951430 374348192 467935240 561522288 701902860 935870480 1123044576 1403805720 1871740960 2807611440 5615222880